570 Cita˘c~oes em Trabalhos de Pesquisa Indice h=13 · 2011-08-14 · 570 Cita˘c~oes em Trabalhos...

570 Citacoes em Trabalhos de PesquisaIndice h=13

i) A Damped Hyperbolic Equation with Critical Exponent, Communications onPartial Differential Equations 17 (5&6) 841-886 (1992).

1. Attractors of Evolution equations, A.V. Babin and M.I. Vishik, Studies in Mathe-matics and its Applications 25, North Holland (1992).

2. Convergence in Gradient-Like Systems with Applications to PDE, J.K. Hale andG. Raugel, Z. Angew. Math. Phys., 43 (2) 63-124 (1992).

3. Attractors for Wave Equations with Nonlinear Dissipation and Critical Exponent,Eduard Feireisl, C.R. Acad. Sci. Paris: Serie I 315 551-555 (1992).

4. Une equation des ondes avec amortissement non lineaire dans le cas critique endimension trois, G. Raugel, C. R. Acad. Sci. Paris: Series I 314 177-182 (1992).

5. Convergence to a positive Equilibrium for some Nonlinear Evolution Equationsin a Ball, A. Haraux and P. Polacik, Acta Math. Univ. Comenian. (NS) 61 (2)129-141 (1992).

6. Attractors for Dissipative Evolutionary Equations J.K. Hale and G. Raugel, Inter-national Conference on Differential Equations 1,2 (Barcelona 1991) 3-22, WorldSci. Publishing, NJ (1993).

7. Uniform Decay Rates and Attractors for Evolution PDE’s, Daniel Tataru, J.Differential Equations 121 1-27 (1995).

8. Global Attractors for Semilinear Damped Wave Equations with Supercritical Ex-ponent, E. Feireisl, J. Differential Equations 116 431-447 (1995).

9. Minimal Compact Global Attractor for a Damped zSemilinear Wave Equation,L. Kapitanski, Communications in Partial Differential equations 20 1303-1323(1995).

10. Dynamical Systems, L. Arnold, C. Jones, K. Mischaikow e G. Raugel, LecturesNotes in Mathematics 1609 (1995).

11. From Finite to Infinite Dimensional Dynamical Systems, J. C. Robinson andP. A. Glendinning (Eds), Proceedings of the NATO Advanced Study Institute,Cambridge, UK, 21 August–1 September 1995 Series NATO Science Series IIMathematics, Physics and Chemistry, Vol. 19 (1995).

12. On periodic Solutions of a damped wave equation in a thin domain using de-gree theoretic methods, R. Johnson, P. Nistri and M. Kemenski, J. DifferentialEquations 140 (1) 186-208 (1997).

13. Attractors for Semilinear Damped Wave Equations on R3, E. Feireisl, NonlinearAnalysis Theory, Methods & Applications 23 (2) 187-195 (1994).

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14. Global Attractors for Semilinear Wave-Equations with Locally Distributed Nonli-near Damping and Critical Exponent, E. Feireisl and E. Zuazua, Communicationin Partial Differential Equations 18 (9-10) 1539-1555 (1993).

15. Dynamics of a Scalar Parabolic Equation, J. Hale, Canadian Applied MathematicsQuarterly 5 (3) (1997).

16. The existence of smooth attractors of damped and driven nonlinear wave equati-ons with critical exponent, s = 5, Birnir, B. and Nelson, K., Dynamical systemsand differential equations, Vol. I (Springfield, MO, 1996). Discrete Contin. Dy-nam. Systems 1998, Added Volume I, 100–117 (1998).

17. Asymptotic Behavior of Solutions to Nonlinear Shells in a Supersonic Flow, I.Lasiecka and W. Heyman, Numeric Functional Analysis and Optimization 20(3&4), 279-300 (1999).

18. Dimension of the global attractor for damped semilinear wave equations withcritical exponent , S. F. Zhou, Journal of Mathematical Physics 40(9) 4444-4451(1999).

19. On the dimension of the global attractor for a damped semilinear wave equationwith critical exponent, Y. Huang, Z. Yi, Z. Y. Yin, Journal of MathematicalPhysics 41 (7) 4957-4966 (2000).

20. Global Attractors in Abstract Parabolic Problems, J. Cholewa and Tomasz D lotko- London Mathematical Society Lecture Note Series 278, Cambridge UniversityPress, 2000.

21. Singularly perturbed hyperbolic equations revisited, G. Raugel, InternationalConference on Differential Equations 1,2 (Berlin, 1999), 647–652, World Sci. Pu-blishing, River Edge, NJ, 2000.

22. Dynamics of evolutionary equations, G. Sell and Y. You, Applied MathematicalSciences 143 Springer-Verlag, New York, 2002.

23. Attractors for equations of mathematical physics, V. Chepyzhov, M. Vishik, Ame-rican Mathematical Society Colloquium Publications, 49. American Mathemati-cal Society, Providence, RI, 2002.

24. Quantitative homogenization of global attractors for hyperbolic wave equationswith rapidly oscillating coefficients, Fiedler B, Vishik, Russian Mathematical Sur-veys 57 (4) 709-728 (2002).

25. Dynamics in infinite dimensions, J. K. Hale, L. Magalhaes and W. Oliva, AppliedMathematical Sciences 47. Springer Verlag (2002)

26. On the attractor for a semilinear wave equation with critical exponent and non-linear boundary dissipation, I. Chueshov, M. Eller, I. Lasiecka, Communicationsin Partial Differential Equations 27 (9-10) 1901-1951 (2002).

27. Finite dimensionality and regularity of attractors for a 2-D semilinear wave equa-tion with nonlinear dissipation, Lasiecka I. and Ruzmaikina A.A., Journal ofMathematical Analysis and Applications 270 (1) 16-50 (2002)

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28. Global attractors in partial differential equations, G. Raugel, Handbook of Dyna-mical Systems Vol 2, Bernold Fiedler Ed. 2002

29. On the damped semilinear wave equation with critical exponent, M. Grasselliand V. Pata, Proceedings Of The Fourth International Conference On DynamicalSystems And Differential Equations May 24 27, 2002, Wilmington, NC, USA351358

30. Kernel sections for damped non-autonomous wave equations with linear memoryand critical exponent, S. F. Zhou, Quarterly of Applied Mathematics 61 (4) 731-757 (2003)

31. Attractors for strongly damped wave equations with critical exponent, S. F. Zhou,Applied Mathematics Letters 16 (8) 1307-1314 (2003).

32. Regularity, determining modes and Galerkin methods, J. K. Hale and G. Raugel,Journal de Mathematiques Pures et Appliquees 82 (9) 1075-1136 (2003)

33. Kernel sections for viscoelasticity and thermoviscoelasticity, S. F. Zhou, NonlinearAnal. 55 (4) 351–380 (2003).

34. Global attractor for the semilinear thermoelastic problem, Gao HJ, Math. Methodsin the Appl. Sci. 26 (15) 1255-1271 (2003)

35. Kernel sections for damped non-autonomous wave equations with critical expo-nent, S. F. Zhou, L. S. Wang, Discrete Contin. Dyn. Syst. 9 (2) 399–412 (2003).

36. Stability and gradient dynamical systems, J. K. Hale, Rev. Mat. Complut. 17(1) 7-57 (2004).

37. Global attractors for von Karman evolutions with a nonlinear boundary dissi-pation, I. Chueshov and I. Lasiecka, J. Differential Equations 198 (1) 196-231(2004)

38. Attractors for second-order evolution equations with a nonlinear damping, I. Chu-eshov and I. Lasiecka, J. Dynam. Differential Equations 16 (2) 469–512 (2004).

39. Global attractors for damped semilinear wave equations, J.M. Ball, Discrete andContinuous Dynamical Systems 10 (1-2) 31-52 (2004)

40. Attractor for a conserved phase-field system with hyperbolic heat conduction, M.Grasselli and V. Patta, Math. Methods Appl. Sci. 27 (16) 1917–1934 (2004)

41. Asymptotic Behavior of a Parabolic-Hyperbolic System, M. Grasselli and V.Patta, Communications on Pure and Applied Analysis 3 (4) 849-881 (2004).

42. Asymptotic regularity of solutions of singularly perturbed damped wave equationswith supercritical nonlinearities, S. Zelik, Discrete and Continuous DynamicalSystems 11 (2-3) 351-392 (2004).

43. Global Dynamics of Nonlinear Wave Equations With Cubic Non-Monotone Dam-ping Y. You, Dyn. Partial Diff. Equations, 1 (1) 65-86 (2004).

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44. Asymptotic regularity of solutions of a nonautonomous damped wave equationwith a critical growth exponent, S. Zelik, Communications on Pure and AppliedAnalysis 3 (4) 921-934 (2004).

45. On the strongly damped wave equation, V. Pata and M. Squassina, Communica-tions in Mathematical Physics 253 (3) 511-533 (2005).

46. Weakly dissipative semilinear equations of viscoelasticity, M. Conti and V. Pata,Communications on Pure and Applied Analysis 4 (4) 705-720 (2005).

47. On the upper semicontinuity of the attractor for perturbed generalized semiflows,Li Ai-cui and Xiao Yue-long, Natural Science Journal of Xiangtan University 27(2) 16-21 (2005).

48. A remark on the damped wave equation, V. Pata and S. Zelik, Communicationson Pure and Applied Analysis 5 (3) 609-614 (2006).

49. Smooth attractors for strongly damped wave equations, V. Pata and S. Zelik,Nonlinearity 19 1495-1506 (2006).

50. Global attractors for nonlinear wave equations with nonlinear dissipative terms,M. Nakao, J. Differential Equations 227 204-229 (2006).

51. Global attractors for the wave equation with nonlinear damping, C. Sun, M. Yangand C. Zhong, J. Differential Equations 227 427-443 (2006).

52. Global attractors for wave equations with nonlinear interior damping and criti-cal exponents, A.Kh. Khanmamedov, J. Differential Equations 230 (2) 702-719(2006).

53. Non-autonomous dynamics of wave equations with nonlinear damping and criticalnonlinearity, Chunyou Sun, Daomin Cao, Jinqiao Duan, Nonlinearity 19 (11)2645-2665 (2006).

54. Dissipation and compact attractors, J.K. Hale, J. Dynamics and Differential Equa-tions 18 (3) 485-523 (2006).

55. Global attractors in PDE, A. V. Babin, Handbook of dynamical systems. Vol.1B, 983–1085, Elsevier B.V., Amsterdam (2006).

56. Long-time dynamics of von Karman semi-flows with non-linear boundary/interiordamping, I. Chueshov, I. Lasiecka, J. Differential Equations 233 (1) 42-86 (2007).

57. Exponential attractors for singularly perturbed damped wave equations A simpleconstruction, A. Miranville, V. Pata and S. Zelik, Asymptotic Analysis 53 (1-2)1-12 (2007).

58. Uniform attractors for non-autonomous wave equations with nonlinear damping,C. Sun; D. Cao; J. Duan, SIAM J. Appl. Dyn. Syst. 6 (2) 293–318 (2007) .

59. Attractors for Nonautonomous Navier-Stokes System and Other Partial Differen-tial Equations, in I nstability in Models Connected with Fluid Flows I, Internati-onal Mathematical Series 06 Springer, New York (2007).

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60. Attractors for Nonautonomous Navier-Stokes System and Other Partial Differen-tial Equations, International Mathematical Series, 6, Instability in Models Con-nected with Fluid Flows I, Springer, New York 135-265 (2007).

61. Non-autonomous wave dynamics with memory - Asymptotic regularity and uni-form attractor, Chunyou Sun, Daomin Cao and Jinqiao Duan, Discrete and Con-tinuous Dynamical Systems-Series B 9 (3-4) 743-761 (2008).

62. Long-term dynamics of semilinear wave equation with nonlinear localized interiordamping and a source term of critical exponent, Chueshov, Igor; Lasiecka, Irena;Toundykov, Daniel, Discrete Contin. Dyn. Syst. 20 (3) 459–509 (2008).

63. Long-time behaviour of wave equations with nonlinear interior damping, A. Kh.Khanmamedov, Discrete and Continuous Dynamical Systems 21 (4) 1185-1198(2008).

64. Long-Time Behavior of Second Order Evolution Equations with Nonlinear Dam-ping, I. Chueshov and I. Lasiecka, Memoirs of the American Mathematical Society,195 no. 912, viii+183 pp. ISBN 978-0-8218-4187-7 (2008).

65. On the stochastic wave equation with nonlinear damping, Kim Jong Uhn, AppliedMathematics And Optimization 58 (1) 29-67 (2008).

66. Averaging of nonautonomous damped wave equations with singularly oscillatingexternal forces V. Chepyzhov, V. Pata, M. I. Vishik, Journal de mathematiquespures et appliquees 90 (5) 469-491 (2008).

67. Dynamics of the nonclassical diffusion equations, Chunyou Sun and Meihua Yang,Asymptotic Analysis 59 (1-2) 51-81 (2008).

68. Uniform attractor for non-autonomous hyperbolic equation with critical exponent,L. Yang, Applied Mathematics and Computation 203 (2) 895–902 (2008).

69. Global attractors for nonlinear wave equations with some nonlinear dissipativeterms in exterior domains, M. Nakao, International Journal of Dynamical Systemsand Differential Equations 1 (4) 221-238 (2008).

70. On the 2D Cahn-Hilliard equation with inertial term, M. Grasselli, G. Schimpernaand S. Zelik, Communications in Partial Differential Equations 34 (2) 137-170(2009).

71. Dynamics of strongly damped wave equations in locally uniform spaces attractorsand asymptotic regularity, Chunyou Sun and Meihua Yang, Transactions of theAmerican Mathematical Society 361 (2) 1069-1101 (2009).

72. An attractor for a nonlinear dissipative wave equation of Kirchhoff type, M. Na-kao, J. Math. Anal. Appl. 353 (2) 652-659 (2009).

73. Asymptotic behavior of stochastick wave equations with critical exponents in R3,B. Wang, arxiv0810.1988 (2008).

74. On the regularity of global attractors, M. Conti and V. Pata, Discrete and Con-tinuos Dynamical Systems 25 (4) 1209 - 1217 (2009).

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75. Attractors for the non-autonomous nonclassical diffusion equations with fadingmemory Xuan Wang and Chengkui Zhong, Nonlinear Analysis Theory, Methods& Applications 71 (11) 5733-5746 (2009).

76. Global Attractor for a Wave Equation with Nonlinear Localized Boundary Dam-ping and a Source Term of Critical Exponent I. Chueshov I, I. Lasiecka andD. Toundykov, Journal of Dynamics and Differential Equations 21 (2) 269-314(2009).

77. Finite-dimensional attractors for the quasi-linear strongly-damped wave equationV. Kalantarov and S. Zelik, J. Differential Equations 247 1120-1155 (2009)

78. Global attractors for 2−D wave equations with displacement-dependent damping,A. Kh. Khanmamedov, doi: 10.1002/mma.1161, Mathematical Methods in theApplied Sciences 33 (2) 177-187 2010.

79. Extremal equilibria for monotone semigroups in ordered spaces with applicationto evolutionary equations, Jan W. Cholewa and Anıbal Rodriguez-Bernal, J. Dif-ferential Equations 249 (3) 485-525 (2010).

80. Asymptotic regularity for some dissipative equations, Chunyou Sun, Journal ofDifferential Equations, 248 342362 (2010).

81. Remark on the regularity of the global attractor for the wave equation with non-linear damping, A.K. Khanmamedov, Nonlinear Analysis: Theory, Methods &Applications 72 (3-4) 1993-1999 (2010)

82. Exponential attractors for the strongly damped wave equations M. Yang and C.Sun, Nonlinear Analysis: Real World Applications 11 (2) 913-919 (2010)

83. Attractors for the nonclassical diffusion equations with fading memory X. Wang,L. Yang and C. Zhong, Journal of Mathematical Analysis and Applications 362(2) 327-337 (2010)

84. A Modified Poincare Method for the Persistence of Periodic Orbits and Applicati-ons JK Hale JK and G. Raugel, Journal of Dynamics and Differential Equations,22 (1) 3-68 MAR 2010.

85. Upper semicontinuity of pullback attractors for nonclassical diffusion equations,Wang, Yonghai; Qin, Yuming, J. Math. Phys. 51 (2) (2010) 022701, 12 pp.

86. Asymptotic behavior of solutions for random wave equations with nonlinear dam-ping and white noise M. Yang, J. Duan and P. Kloeden, Nonlinear Analysis: RealWorld Applications 12 (1), pp. 464-478 (2011)

87. Recent developments in dynamical systems: Three perspectives F. Balibrea, T.Caraballo, P. E. Kloeden and J. Valero, International Journal of Bifurcation andChaos 20 (9), pp. 2591-2636 (2010).

88. Asymptotic behavior of stochastic wave equations with critical exponents on R3,Bixiang Wang, Trans. Amer. Math. Soc. 363 (7) 3639–3663 (2011).

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ii) Parabolic Problems with Nonlinear Boundary Conditions and Critical Non-linearities, J. Differential Equations 156 (2), 376-406 (1999).

1. Spectral Behavior and Upper Semicontinuity of Attractors, Jose M. Arrieta ,International Conference on Differential Equations 1 (2) (Berlin, 1999), 615–621,World Sci. Publishing, River Edge, NJ (2000).

2. Nonlinear balance for reaction-diffusion equations under nonlinear boundary con-ditions Dissipativity and blow-up, A. Rodriguez-Bernal and A. Tajdine, J. Diffe-rential Equations 169 (2) 332-372 4 (2001).

3. Parabolic Problems with Nolinear Dynamical Boundary Conditions and Singu-lar Initial Data, J.M. Arrieta, P. Quittner and A. Rodriguez-Bernal, DifferentialIntegral Equations 14 (12) 1487–1510 (2001).

4. Dynamics of reaction diffusion equations with nonlinar boundary conditions, A.Rodriguez-Bernal and A. Tajdine, Comptes Rendus de Lacademie de SciencesSerie I - Mathematique T. 331 (7) 531-536 (2000).

5. Admissible Lp-norms for local existence and for continuation in semilinear para-bolic systems are not the same, P. Quittner and P. Souplet, Proceedings of theRoyal Society of Edinburgh Section A-Mathematics 131 1435-1456 (2001).

6. Attractors for parabolic equations with nonlinear boundary conditions, critical ex-ponents, and singular initial data, A. Rodriguez-Bernal, J. Differential Equations181 (1) 165-196 (2002).

7. Some qualitative dynamics of nonlinear boundary conditions, A. Rodriguez-Bernal,International Journal of Bifurcation and Chaos 12 (11) 2333-2342 (2002).

8. Pattern formation from boundary reaction J. Arrieta, N. Cnsul, A. Rodriguez-Bernal, Differential equations and dynamical systems (Lisbon, 2000), 13–18, Fi-elds Inst. Commun., 31, Amer. Math. Soc., Providence, RI (2002).

9. Bounds of global solutions of parabolic problems with nonlinear boundary con-ditions, P. Quittner and P. Souplet, Indiana University Mathematics Journal 52(4) 875-900 (2003).

10. Multinonlinear interactions in quasi-linear reaction-diffusion equations with non-linear boundary flux, X. F. Song and S. N. Zheng, Mathematical and ComputerModelling 39 (2-3) 133-144 (2004).

11. Stable boundary layers in a diffusion problem with nonlinear reaction at the boun-dary, J. Arrieta, N. Consul and A. Rodriguez-Bernal, Zeitschrift fur AngewandteMathematik und Physik 55 (1) 1-14 (2004).

12. Asymptotic behavior and attractors for reaction diffusion equations in unboun-ded domains, J. Arrieta, J. Cholewa, Tomasz D lotko and A. Rodriguez-Bernal,Nonlinear Analysis-Theory Methods & Applications 56 (4) 515-554 (2004).

13. On the controllability of the heat equation with nonlinear boundary Fourier con-ditions, A. Doubova, E. Fernandez-Cara and M. Gonzalez-Burgos, J. DifferentialEquations 196 (2) 385-417 20 (2004).

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14. Semilinear parabolic equations involving measures and low regularity data, H.Amann and P. Quittner, Transactions of the American Mathematical Society356 (3) 1045-1119 (2004).

15. Non well posedness of parabolic equations with supercritical nonlinearities, J.M.Arrieta and A. Rodriguez-Bernal, Communications in Contemporary Mathema-tics 6 (5) 733-764 (2004).

16. A nonlinear diffusion problem with localized large diffusion, N. Igbida, Commu-nications in Partial Differential Equations 29 (5-6) 647-670 (2004).

17. A semilinear reaction-diffusion system of equations and large diffusion, RobertWillie, J. Dynam. Differential Equations 16 (1) 35–63 (2004).

18. Quelques Problemes Elliptiques et Parabolicques non Lineaires Degeneres; Exis-tence, Unicite, Limites Singulires et Comportement Asymptotique, NeureddineIgbida, Universite De Picardie Jules Verne, Thse D’Habilitation a Diriger desRecherches, Specialite Mathematiques, Soutenue le 9 Decembre (2005).

19. Complete and energy blow-up in parabolic problems with nonlinear boundaryconditions, P. Quittner and A. Rodriguez-Bernal, Nonlinear Analysis 62(5) 863–875 (2005).

20. On the existence of global attractor for a class of infinite dimensional dissipativenonlinear dynamical systems, C. K. Zhong, C. Y. Sun and M. F. Niu, ChineseAnnals of Mathematics, Series B 26 (3) 393-400 (2005).

21. Blowup stability of solutions of the nonlinear heat equation with a large live span,Flavio Dickstein, J. Differential Equations 223 (2) 303-328 (2006).

22. Analysis of parabolic problems on partitioned domains with nonlinear conditionsat the interface. Application to mass transfer through semi-permeable membra-nes, F. Calabro and P. Zunino, Mathematical Models and Methods in AppliedSciences 16 (4) 479-501 (2006).

23. Exact controllability to the trajectories of the heat equation with Fourier boun-dary conditions The semilinear case, E. Fernandez-Cara, M. Gonzalez-Burgos, S.Guerrero and J. P. Puel, ESAIM-Control Optimization and Calculus of Variations12 (3) 466-483 (2006).

24. Continuity of the attractors in a singular problem arising in composite materials,V. L. Carbone and J. G. Ruas-Filho, Nonlinear Analysis 65 (7) 1285–1305 (2006).

25. Large diffusivity stability of attractors in the C(Ω)-Topology for a semilinear reac-tion and diffusion system of equations, R. Willie, Dynamics of Partial DifferentialEquations 3 (3) 173-197 (2006).

26. Bifurcation and stability of equilibria with asymptotically linear boundary con-ditions, J. Arrieta, R. Pardo and A. Rodriguez-Bernal, Proceedings of the RoyalSociety of Edinburgh A 137 (2) 225-252 (2007).

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27. A Priori Bounds, Nodal Equilibria on Connecting Orbits in Indefinite SuperlinearParabolic Problems, A. Nils, T. Bartsch, P. Kaplicky and P. Quittner, Transacti-ons Of The American Mathematical Society 360 (7) 3493-3539 (2008).

28. On boundedness of solutions of reaction-diffusion equations with nonlinear boun-dary conditions, J. Arrieta, Proceedings Of The American Mathematical Society136 (1) 151-160 (2008).

29. Rapidly varying boundaries in equations with nonlinear boundary conditions.The case of a Lipschitz deformation, J. Arrieta and S. M. Bruschi, MathematicalModels and Methods in Applied Sciences 17 (10) 1555-1585 (2007).

30. Shadowing for discrete approximations of abstract parabolic equations, W. J.Beyn and S. Piskarev, Discrete And Continuous Dynamical Systems-Series B 10(1) 19-42 (2008).

31. A Semiclassical Coupled Model for the Transient Simulation of SemiconductorDevices, Philippe Bechouche and Laurent Gosse, SIAM Journal on Scientific Com-puting SISC 29 (1) 376-396 (2007).

32. Asymptotic behaviour of a parabolic problem with terms concentrated in theboundary, Angela Jimenez-Casas and Anıbal Rodrıguez-Bernal, Nonlinear Analy-sis Theory, Methods & Applications, 71 (12) 2377-2383 (2009).

33. Bounds for blow-up time for the heat equation under nonlinear boundary con-ditions, L. E. Payne and P. W. Schaefer, Proceedings of the Royal Society ofEdinburgh 139A 128-1296 (2009)

34. Cascades of Hopf bifurcations from boundary delay Arrieta, J.M., Consul, N.,Oliva, S.M., Journal of Mathematical Analysis and Applications 361 (1) 19-37, 1January 2010

35. Attractors of the non-autonomous reaction-diffusion equation with nonlinear boun-dary condition Lu Yang and Mei-Hua Yang, Nonlinear Analysis: Real WorldApplications 11 (5) 3946-3954 (2010).

36. On the supercriticality of the first Hopf bifurcation in a delay boundary problemJ. M. Arrieta, N. Consul and S. M. Oliva, International Journal of Bifurcationand Chaos, 20 (9) 2955-2963 (2010).

37. Singular limit for a nonlinear parabolic equation with terms concentrating onthe boundary, Angela Jimenez-Casas and Anıbal Rodrıguez-Bernal, Journal ofMathematical Analysis and Applications 379 (2) 567-588 (2011).

38. Attractors for non-autonomous parabolic problems with singular initial data, Xi-aojun Li and Shigui Ruan, J. Differential Equations 251 (3) 728-757 (2011)

iii) Attractors for Parabolic Problems with Nonlinear Boundary Conditions:Uniform Bounds, Communications in Partial Differential Equations 25 (1-2) 1-37(2000).

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1. Attractors for parabolic equations with nonlinear boundary conditions, critical ex-ponents and singular initial data, Anıbal Rodriguez-Bernal, J. Differential Equa-tions 181 (1) 165–196 (2002).

2. Nonlinear balance for reaction-diffusion equations under nonlinear boundary con-ditions Dissipativity and blow-up, A. Rodriguez-Bernal and A. Tajdine, J. Diffe-rential Equations 169 (2) 332-372 (2001).

3. Spectral Behavior and Upper Semicontinuity of Attractors, Jose M. Arrieta ,International Conference on Differential Equations 1 (2) 2 (Berlin, 1999), 615–621, World Sci. Publishing, River Edge, NJ (2000).

4. Dynamics of reaction diffusion equations with nonlinear boundary conditions,Anıbal Rodriguez-Bernal and A. Tajdine, Comptes Rendus de Lacademie de Sci-ences Serie I - Mathematique T. 331 (7) 531-536 (2000).



7. Localization on the boundary of blow-up for reaction-diffusion equations withnonlinear boundary conditions , J. Arrieta and A. Rodriguez-Bernal, Communi-cations in Partial Differential Equations 29 (7-8) 1127-1148 (2004).

8. Stable boundary layers in a diffusion problem with nonlinear reaction at the boun-dary, J. Arrieta, N. Consul and A. Rodriguez-Bernal, Zeitschrift fur AngewandteMathematik und Physik 55 (1) 1-14 (2004).



11. Convergence towards attractors for a degenerate Ginzburg-Landau equation, N. I.Karachalios and N. B. Zographopoulos, Zeitschrift fur Angenwandte Mathematikund Physik 56 (1) 11-30 (2005).

12. Singular large diffusivity and spatial homogenization in a non homogeneous linearparabolic problem, A. Rodriguez-Bernal and R. Wilie, Discrete and ContinuousDynamical Systems-Series B 5 (2) 385-410 (2005).

13. Asymptotic behaviour for a phase field model in higher order Sobolev Spaces, A.Jimnez-Casas and A. Rodriguez-Bernal, Rev. Mat. Complut. 15 (1) 213–248(2002).

14. Pattern formation from boundary reaction J. Arrieta, N. Cnsul, A. Rodriguez-Bernal, Differential equations and dynamical systems (Lisbon, 2000), 13–18, Fi-elds Inst. Commun., 31, Amer. Math. Soc., Providence, RI (2002).

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15. Continuity of attractors for a reaction-diffusion problem with respect to variationsof the domain, L. A. F. Oliveira, A. L. Pereira and M. C. Pereira, Electron. J.Differential Equations 100 18 pp. (electronic) (2005).

16. Flux condition induced by concentrated reactions, J. Arrieta, A. Jimnez-Casasand A. Rodriguez-Bernal, Equadiff 2003 - Proceedings of the International Con-ference on Diferential Equations, Hasselt, Belgium 22 - 26 July 2003, World Sci-entific 293-295 (2005).

17. On the existence of patterns for a diffusion equation on a convex domain withnonlinear boundary reaction, N. Consul and . Jorba, International Journal ofBifurcation and Chaos 15 (10) 3321-3328 (2005).

18. Continuity of attractors for net-shaped thin domains, T. Elsken, TopologicalMethods in Nonlinear Analysis 26 (2) 315-354 (2005).

19. Boundary oscillations and nonlinear boundary conditions, J. M. Arrieta and S.M. Bruschi, Comptes Rendus Mathematique 343 (2) 99–104 (2006).

20. Continuity of the attractors in a singular problem arising in composite materials,V. L. Carbone and J. G. Ruas-Filho, Nonlinear Analysis 65 (7) 1285–1305 (2006)

21. Bifurcation and stability of equilibria with asymptotically linear boundary con-ditions, J. Arrieta, R. Pardo and A. Rodriguez-Bernal, Proceedings of the RoyalSociety of Edinburgh A 137 (2) 225-252 (2007).

22. Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity, J. M.Arrieta, A. Rodriguez-Bernal and J. Valero, International Journal of Bifurcationand Chaos, 16 (10) 2965-2984 (2006).

23. Dissipative parabolic equations in locally uniform spaces, J. Arrieta, J. Cholewa,T. Dlotko, A. Rodriguez-Bernal, Mathematische Nachrichten 280 (15) 1643-1663(2007).

24. On boundedness of solutions of reaction-diffusion equations with nonlinear boun-dary conditions, J. Arrieta, Proceedings Of The American Mathematical Society136 (1) 151-160 (2007).

25. Pullback attractors and extremal complete trajectories for non-autonomous reaction-diffusion problems, J. C. Robinson, A. Rodriguez-Bernal and A. Vidal-Lopez, J.Differential Equations 238 289-337 (2007).

26. Flux terms and Robin boundary conditions as limit of reactions and potentialsconcentrating in the boundary, J. Arrieta, A. Jimenez-Casas and A. Rodrıguez-Bernal, Revista Matematica Iberoamericana 24 (1) 183-211 (2008).


28. Nesting inertial manifolds for reaction and diffusion equations with large diffusi-vity, A. Rodrıguez Bernal and Robert Willie, Nonlinear Analysis, 67 (1) 70–93(2007).

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29. Attractors for reaction-diffusion equations on arbitrary unbounded domains, Mar-tino Prizzi and Krzysztof P. Rybakowski, Topological Methods In Nonlinear Analy-sis 30 (2) 251-277 (2007).

30. Continuity of attractors for a reaction-diffusion problem with nonlinear boundaryconditions with respect to variations of the domain, A. L. Pereira and M. C.Pereira, Journal of Differential Equations 239 343-370 (2007).

31. Extremal equilibria for nonlinear parabolic equations in bounded domains andapplications, A. Rodrıguez-Bernal and A. Vidal-Lopez, Journal of DifferentialEquations 244 (12), 2983-3030 (2008).

32. Equilibria and global dynamics of a problem with bifurcation from infinity, J.Arrieta, R. Pardo and A. Rodriguez-Bernal, Journal of Differential Equations246 20552080 (2009).

33. Asymptotic behaviour of a parabolic problem with terms concentrated in theboundary, Angela Jimenez-Casas and Anıbal Rodrıguez-Bernal, Nonlinear Analy-sis Theory, Methods & Applications, 71 (12) 2377-2383 (2009).

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8. Uniform attractors for non-autonomous p-laplacian equation, Guang-xia Chenand Cheng-Kui Zhong, Nonlinear Analysis-Theory Methods & Applications, 68(11) 3349-3363 (2008).

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8. Quelques Problemes Elliptiques et Parabolicques non Lineaires Degeneres; Exis-tence, Unicite, Limites Singulires et Comportement Asymptotique, NeureddineIgbida, Universite De Picardie Jules Verne, Thse D’Habilitation a Diriger desRecherches, Specialite Mathematiques, Soutenue le 9 Decembre (2005).

9. On the effects of migration and spatial heterogeneity on single and multiple spe-cies, Yuan Lou, J. Differential Equations, 223 (2) 400-426 (2006).


11. Limite Singulire de quelques problmes de Reaction Diffusion Analyse Mathematiqueet numerique, Fahd Karani, Universite De Picardie Jules Verne, Rapport de Thse,Specialite Mathematiques Appliqees, Soutenue le 8 Juin (2007).

12. Some competition phenomena in evolution equations, Noureddine Igbida andFahd Karami, Adv. Math. Sci. Appl. 17 (2) 559–587 (2007).


25


15. Comptition raction-diffusion et comportement asymptotique d’un problme d’obstacledoublement non linaire, Fahd Karami, Ann. Fac. Sci. Toulouse Math. (6) 19 (2)345-362 (2010).

16. On the effects of migration and inter-specific competitions in steady state of someLotka-Volterra model, Li F., Wang L.P. and Wang Y., Discrete and ContinuousDynamical Systems-Series B, 15 (3) 669-686 (2011).


xii) Local well posedness for strongly damped wave equations with critical non-linearities, Bulletin of the Australian Mathematical Society 66 443-463 (2002).

1. Long-time asymptotic expansion for the damped semilinear wave equation, V.Varlamov, Journal of Mathematical Analysis and Applications 276 (2) 896-923(2002).



4. Dynamically equivalent perturbations of linear parabolic equations, R. Czaja,Demonstratio Mathematica XXXVII (2) 327-348 (2004).

5. Global solutions and finite time blow up for damped semilinear wave equations,F. Gazzola and M. Squassina, Annales de L’Institut Henri Poincare-Analyse NonLineare 23 (2) 185-207 (2006).


7. Global existence of weak solutions for two-dimensional e semilinear wave equa-tions with strong damping in an exterior domain, Ryo Ikehata and Yu-ki Inoue,Nonlinear Analysis, Theory, Methods & Applications 68 (1) 154-169 (2008).


9. Sull’equazione delle onde fortemente smorzata con memoria, Francesco di Pli-nio, Tesi di Laurea in Ingegneria Matematica, Facolta di Ingegneria dei Sistemi,Politecnico Di Milano (2007).

26


11. On the strongly damped wave equation with memory F. Di Plinio, V. Pata andS. Zelik, Indiana University Mathematics Journal 57 (2) 757-780 (2008).


13. Attractors for strongly damped wave equations, Chunyou Sun and Meihua Yang,Nonlinear Analysis Real World Applications 10 (2) 1097-1100 (2009).

14. Exponential attractors for the strongly damped wave equations, M. Yang and C.Sun, doi:10.1016/j.nonrwa.2009.01.022, Nonlinear Analysis: Real World Applica-tions 11 (2), pp. 913-919 (2009).



17. Pullback attractors for a singularly nonautonomous plate equation V. L. Carbone,M. J. D. Nascimento, K. Schiabel-Silva and R. P. da Silva, Electronic Journal ofDifferential Equations (2011)

xiii) Attractors for Parabolic Problems with Nonlinear Boundary Conditions,Journal of Mathematical Analysis and Applications, 207 409-461 (1997).

1. Attractors for Parabolic Problems with Nonlinear Boundary Conditions in Frac-tional Power Spaces, S. M. Oliva e A. L. Pereira, Proceedings of the EQUADIF-1995, Lisboa-Portugal 453-457 (1998).

2. Reaction-Diffusion Equations with Nonlinear Boundary Delay, S. M. Oliva, Jour-nal of Dynamics and Differential Equationss 11 (2), 279-296 (1999).

3. Dynamics of reaction diffusion equations with nonlinar boundary conditions, A.Rodriguez-Bernal and A. Tajdine, Comptes Rendus de Lacademie de SciencesSerie I - Mathematique, T. 331 (7) 531-536 (2000).


5. Attractors for parabolic problems with nonlinear boundary conditions in fractionalpower spaces, S. M. Oliva and A. L. Pereira, Dynamics of Continuous Discreteand Implusive Systems-Series A-Mathematical Analysis 9 (4) 551-562 (2002).


27







13. Continuity of attractors for a reaction-diffusion problem with nonlinear boundaryconditions with respect to variations of the domain, A. L. Pereira and M. C.Pereira, J. Differential Equations 239 (2007) 343-370.

14. Existence and regularity for a nonlinear boundary flow problem of populationgenetics, G. F. Madeira, Nonlinear Analysis Theory, Methods & Applications, 70(2) 974–981 (2009).


xiv) A Scalar Parabolic Equation Whose Asymptotic Behavior is Dictated by aSystem of Ordinary Differential Equations - J. Differential Equations 112 81-130(1995).

1. Localized Spatial Homogenization and Large Diffusion, Anıbal Rodriguez-Bernal,SIAM Journal of Mathematical Analysis 29 (6) 1361-1380 (1998).

2. Diffusive Coupling, Dissipation ans Synchronization, J. K. Hale, Journal of Dy-namics and Differential Equations, 9 (1)1-52 (1997).

3. Attracting Manifolds for Evolutionary Equations, J. Hale, Resenhas IME-USP 3(1) 55-72 (1997).

4. Numerics and Dynamics, J. Hale, Contemporary Mathematics 172 (1994).


28

6. Topological Invariants and Solutions with a High Complexity for Scalar SemilinearPDE, A. V. Babin, Journal of Dynamics and Differential Equations 12 (3) (2000).

7. Invariant manifolds and limiting equations for a hyperbolic problems, A. L. Pereiraand L.A.F. Oliveira, Dynamics of Continuous Discrete and Impulsive Systems 7(4) 503-524 (2000).


9. Preservation of spatial patterns by a hyperbolic equation, A. V. Babin, Discreteand Continuous Dynamical Systems 10 (1-2) 1-19 (2004).


11. Analisi d’un model de suspensio-amortiment, Marta Pellicer i Sabadı, Phd Thesis,Universitat Politecnica de Catalunya, Departamento de Matematica Aplicada 1,Advisor Joan Sola -Morales Rubio, ISBN B.37100-2005/84-689-3159-4 (2004).



xv) Partially Dissipative System in Uniformly Local Spaces, Colloquium Mathe-maticum 100 (2) 221-242 (2004) and Cadernos de Matematica 02 291-307 (2001).

1. Hyperbolic equations in uniform spaces, J. Cholewa and Tomasz D lotko, Bulletinof the Polish Academy of Sciences-Mathematics, 52 (3) 249–263 (2004).

2. Attractors for partly dissipative lattice dynamic systems in l2 × l2, X. J. Li andC. K. Zhong, Journal of Computation and Applied Mathematics 177 (1) 159-174(2005).

3. Strongly damped wave equation in uniform spaces, J. Cholewa and Tomasz D lotko,Nonlinear Analysis-Theory, Methods & Applications 64 (1) 174-187 (2006).

4. Attractors for partly dissipative lattice dynamic systems in weighted spaces, Xiao-jun Li and Da-bin Wang, Journal of Mathematical Analysis and Applications 325(1) 141-156 (2007).

5. Asymptotic behavior of the FirzHugh-Nagumo System, W. Liu and B. Wang,Asymptotic Behavior of the FitzHugh-Nagumo System, International Journal ofEvolution Equations 2 (2) 129-163 (2007).


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8. Lp-uniform attractor for nonautonomous reaction-diffusion equations in unboun-ded domains Xingjie Yan and Chengkui Zhong, Journal of Mathematical Physics49 (10) Article Number 102705 (2008).

9. The Stabilization of FitzHugh-Nagumo Systems with one Feedback ControllerX.Yu and Y.Y. Li, Conference Information 16-18, 2008 Kunming, China, Procee-dings of the 27th Chinese Control Conference 2 417-419 (2008).

10. Global attractors for plate equations with critical exponent in locally uniform spa-ces, G. Yue and C. Zhong, Nonlinear Analysis: Theory, Methods & Applications71 (9) 4105-4114 (2009)


12. Uniform Attractor for the Partly Dissipative Nonautonomous Lattice Systems,Xiaojun Li and Haishen Lv, Advances in Difference Equations 2009 Article ID91631, 21 pages, doi:10.1155/2009/916316

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2. Global Attractors for Parabolic PDE’s in Holder Spaces, J. Cholewa and TomaszD lotko, Tsukuba J. Math 21 (2) 263-283 (1997).


4. Exponential Dichotomy for a Nonautonomous System of Parabolic Equations, H.Leiva, Journal of Dynamics and Differential Equations 10 (3) (1998).

5. Global Attractors in Abstract Parabolic Problems, J. Cholewa and Tomasz D lotko- London Mathematical Society Lecture Note Series 278, Cambridge UniversityPress, (2000).

6. Lyapunov functionals and stability for FitzHugh-Nagumo systems, P. Freitas andC. Rocha, Special issue in celebration of Jack K. Hale’s 70th birthday, Part 3(Atlanta, GA/Lisbon, 1998). J. Differential Equations 169 (1) 208–227 (2001).

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9. Asymptotic behavior of the FirzHugh-Nagumo System on the Real Line, W. Liuand B. Wang, Internat. J. of Evolution Equations 2 129-163 (2007).

10. Exponential attractors for a class of reaction-diffusion problems with time delays,M. Grasselli , D. Prazak, Journal of Evolution Equations 7 (4) 649-667 (2007).

xvii) Infinite Dimensional Dynamics Described by Ordinary Differential Equati-ons Journal of Differential Equations 116 (2) 338-404 (1995).

1. A semilinear reaction-diffusion system of equations and large diffusion, RobertWillie, J. Dynam. Differential Equations 16 35–63 (2004).

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3. Maximal attractors of classical solutions for reaction diffusion equations with dis-persion, Li Y. L. and Ma Y. C., Acta Mathematica Scientia 25(2) 248-258 (2005).







10. Generalized Convergence and Uniform Bounds for Semigroups of Restrictionsof Nonselfadjoint Operators, M. Pellicer, Journal of Dynamics and DifferentialEquations, 22 (3) 399-411 (2010).

xviii) Characterization of non-autonomous attractors of a perturbed infinite-di-mensional gradient system, Journal of Differential Equations 236 570–603 (2007).

1. The stability of attractors for non-autonomous perturbations of gradient-like sys-tems J. A. Langa, J. C. Robinson, A. Suarez, A. Vidal-Lopez, J. DifferentialEquations 234 (2) 607–625 (2007).

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2. Pullback attractors for a semilinear heat equation in a non-cylindrical domain, P.E. Kloeden, P. Marın-Rubio and J. Real, Journal of Differential Equations 244(8) 2062-2090 (2008).


4. Nonautonomous continuation of bounded solutions, Christian Potzsche, Preprint

5. Pullback exponential attractors Langa JA, Miranville A, Real J, Discrete andContinuous Dynamical Systems (Series A) 26 (4) 1329-1357 APR 2010


7. On the long time behavior of non-autonomous LotkaVolterra models with diffusionvia the sub-supertrajectory method, Jose A. Langa, Anıbal Rodrıguez-Bernal andAntonio Suarez, Journal of Differential Equations 249 (2) 414-445 (2010).

8. Stability robustness in the presence of exponentially unstable isolated equilibria,D. Angeli and L. Praly, IEEE Transactions on Automatic Control 56 (7), art. no.5658110, pp. 1582-1592 2011

9. Almost Periodic Dynamics of Perturbed Infinite-Dimensional Dynamical Systems,Bixiang Wang, Nonlinear Analysis: Theory, Methods and Applications, Articlein Press, 10 August 2011.

xix) Global Attractors for Parabolic Problems in Fractional Power Spaces - SIAMJournal for Mathematical Analysis 26 (2) 415-427 (1995).

1. Global Attractors for Parabolic PDE’s in Holder Spaces, J. Cholewa and TomaszD lotko, Tsukuba J. Math 21 (2) 263-283 (1997).

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3. Maximal attractor for quasiliear parabolic equation, Wu Jinhua and He Wen,Journal of Shaanxi Normal University 27 (1) 1–4 (1999).

4. Existence, Regularity and Dimensional Estimate of the Maximal Attractors forReaction-Diffusion Systems, Wu Jianhua, Journal Of Mathematical Research AndExposition 21 (3) 387-393 (2001).

5. The exponential attractors for reaction-diffusion equations in Banach spaces Jour-nal of Yunnan University (Natural Sciences Edition) 25 (5) 381-385 (2003).

6. Maximal attractors of classical solutions for reaction diffusion equations with dis-persion, Li Y. L. and Ma Y. C., Acta Mathematica Scientia 25 (2) 248-258 (2005).

7. The exponential attractors for the generalized 2D Ginzburg-Landau equations inBanach spaces Acta Mathematicae Applicatae Sinica 28 (1) 134-142 (2005).

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xx) Delay-Partial Differential Equations with Some Large Diffusion, NonlinearAnalysis Theory Methods & Applications 22 1057-1095 (1994).

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2. Inertial manifolds for retarded semilinear parabolic equations, L. Boutet de Mon-vel, I. D. Chueshov, and A. V. Rezounenko, Nonlinear Analysis Theory, Methodsand Applications 34 (6) 907-925 (1998).

3. Inertial manifolds with delay for retarded semilinear parabolic equations, A. V.Rezounenko, Discrete and Continuous Dynamical Systems, 6 (4) 829-840 (2000).

4. Invariant manifolds and limiting equations for a hyperbolic problems, A. L. Pereiraand L.A.F. Oliveira, Dynamics of Continuous Discrete and Impulsive Systems7(4)503-524 (2000).

5. Existence and uniqueness of solutions of retarded quasilinear wave equations, Shi-gui Ruan and John C. Clements, in Operator theory and its applications (Winni-peg, MB, 1998), 473483, Fields Inst.Commun., 25, Amer. Math. Soc., Providence,RI (2000).

6. Inertial manifolds for retarded second order in time evolution equations, A.V.Rezounenko, Nonlinear Analysis-Theory, Methods and Applications 51 (6) 1045-1054 (2002).

7. Approximate inertial manifolds for retarded semilinear parabolic equations, A. V.Rezounenko, Journal of Mathematical Analysis and Applications 282 (2) 614-628(2003).

8. A discretization scheme for an one-dimensional reaction-diffusion equation withdelay and its dynamics, M. C P. Toledo and S. M. Oliva, Discrete and ContinuousDynamical Systems 23 (3) 1041-1060 (2009).

xxi) A general approximation scheme for attractors of abstract parabolic pro-blems, Numerical Functional Analysis and Optimization 27 (7-8) 785–829 (2006).

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4. Discrete convergence and the equivalence of equi-attraction and the continuousconvergence of attractors, P. Kloeden and S. Piskarev, Int. J. Dynamical Systemsand Differential Equations 1 (1) 38-43 (2007).


6. Continuity of global attractors for a class of non local evolution equations PereiraA. L., da Silva S.H., Discrete and Continuous Dynamical System, Series A, 26(3) 1073-1100 MAR 2010.



xxii) Comparison results for nonlinear parabolic equations with monotone princi-pal part, Journal of Mathematical Analysis and Applications 259 (1) 319-337 (2001).

1. Parameter dependent quasi-linear parabolic equations, C. B. Gentile and M. R.T. Primo, Nonlinear Analysis Theory Methods & Applications 59 (5) 801-812(2004).

2. Existence of a global attractor for a p-Laplacian equation in Rn, Mei-hua Yang,Chun-you Sun and Cheng-kui Zhong, Nonlinear Analysis Theory, Methods &Applications 66 (1) 1-13 (2007).

3. Global attractors for p-Laplacian equation, Mei-hua Yang, Chun-you Sun andCheng-kui Zhong, Journal of Mathematical Analysis and Applications 327 (2)1130-1142 (2007).

4. On attractors for multivalued semigroups defined by generalized semiflows, J.Simsen and C. B. Gentile, Set-Valued Analysis 16 (1) 105-124 (2008).

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xxiii) Examples of Global Attractors in Parabolic Problems, Hokkaido MathematicalJournal 26 1-27 (1997).

1. Cauchy Problem with Subcritical Nonlinearity, J. Cholewa adn Tomasz D lotko,Journal of Mathematical Analysis and Applications 210 531-548 (1997).


3. Abstract parabolic problem with non-Lipschitz nonlinearity. Evolution equationsexistence, regularity and singularities, J. Cholewa and Tomasz D lotko, (Warsaw,1998), 73–81, Banach Center Publ. 52, Polish Acad. Sci., Warsaw (2000).

4. Global Attractors in Abstract Parabolic Problems, J. Cholewa and Tomasz D lotko- London Mathematical Society Lecture Notes Series 278, Cambridge UniversityPress (2000).



7. Nesting inertial manifolds for reaction and diffusion equations with large dif-fusivity, A. Rodrıguez Bernal and Robert Willie, Nonlinear Analysis: Theory,Methods & Applications 67 (1) 70–93 (2007).

xxiv) The dynamics of a one-dimensional parabolic problem versus the dynamicsof its discretization, J. Differential Equations 168 (1) 67-92 (2000).

1. Small delay inertial manifolds under numerics A numerical structural stabilityresult, G. Farkas, Journal of Dynamics and Differential Equations 14 (3) 549-588(2002).

2. Introduction to some methods of chaos analysis and control for PDEs, Y. Zhao,Chaos Control Theory and Applications, Lecture Notes in Control and Informa-tion Sciences 292 89-115 (2003).

3. Synchronization of some kind of PDE chaotic systems by invariant manifoldmethod, Lingli Xie and Yi Zhao, International Journal of Bifurcation and Chaos15 (7) 2303-2309 (2005).

4. Controling Chaos to a class of PDEs by applying invariant manifold and structurestability theory, Yi Zhao and S. H. Hou, International Journal of Bifurcation andChaos 15 (2) (2005).

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6. Invariant manifold with complete foliations and chaotification analysis for a kindof PDES with boundary coupling, Xie, L. , Teo, K.-L. , Zhao, Y.I., InternationalJournal of Bifurcation and Chaos 17 (9) 3183-3198 (2007).

7. A discretization scheme for an one-dimensional reaction-diffusion equation withdelay and its dynamics, M. C P. Toledo and S. M. Oliva, Discrete and ContinuousDynamical Systems 23 (3) 1041-1060 (2009).

xxv) Critical nonlinearities at the boundary, Comptes Rendus de l’Academie des Sci-ences 327 Serie I 353-358 (1998).

1. Dynamics of reaction diffusion equations with nonlinar boundary conditions, AnıbalRodriguez-Bernal and A. Tajdine, Comptes Rendus de Lacademie de Sciences:Serie I-Mathematique T. 331 (7) 531-536 (2000).

2. Nonlinear balance for reaction-diffusion equations under nonlinear boundary con-ditions Dissipativity and blow-up, Rodriguez-Bernal and A. Tajdine, J. Differen-tial Equations 169 (2)332-372 (2001).





7. Nesting inertial manifolds for reaction and diffusion equations with large dif-fusivity, A. Rodrıguez Bernal and Robert Willie, Nonlinear Analysis: Theory,Methods & Applications 67 (1) 70–93 (2007).

xxvi) Dynamics in dumbbell domains I. Continuity of the set of equilibria, Journalof Differential Equations 231 551-597 (2006).

1. Rapidly varying boundaries in equations with nonlinear boundary conditions.The case of a Lipschitz deformation, J. Arrieta and S. M. Bruschi, MathematicalModels and Methods in Applied Sciences 17 (10) 1555–1585 (2007).


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3. Minimal Coexistence Configurations For Multi-species Systems, M. Conti and V.Felli, Nonlinear Analysis Theory, Methods & Applications, 71 (7-8) 3163-3175(2009).

4. Stability and instability of equilibria on singular domains, Maria Gokieli, NicolasVarchon, Banach Center Publ. 86 (2009), 103-113.



7. The Neumann problem in an irregular domain L. Bolikowski, M. Gokieli and N.Varchon, Interfaces and Free Boundaries 12 (4), pp. 443-462 (2010).

xxvii) Reaction-Diffusion Equations in Cell Tissues Journal of Dynamics and Differen-tial Equations 9 (1) 93-131 (1997).

1. Diffusive Coupling, Dissipation and Synchronization, J. Hale, Journal of Dyna-mics and Differential Equations 9 (1) 1-52 (1997).

2. Dynamics of a Scalar Parabolic Equation, J. Hale, Canadian Applied MathematicsQuarterly 5 (3) 209-306 (1997).

3. Attracting Manifolds for Evolutionary Equations, J. Hale, Resenhas IME-USP 3(1) 55-72 (1997).

4. Topological Invariants and Solutions with a High Complexity for Scalar SemilinearPDE, A. V. Babin, Journal of Dynamics and Differential Equations 12 (3) 599-646(2000).

5. Preservation of spatial patterns by a hyperbolic equation, A. V. Babin, Discreteand Continuous Dynamical Systems 10 (1-2) 1-19 (2004).


xxxviii) Abstract parabolic problems in ordered Banach spaces, Colloquium Mathema-ticum 90 1-17 (2001).


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xxix) Spatial Homogeneity in Damped Hyperbolic Equations, Dynamic Systems andApplications 1 221-250 (1992).

1. Localized Spatial Homogenization and Large Diffusion, A. Rodriguez-Bernal, SIAMJournal of Mathematical Analysis 29 (6) 1361-1380 (1998).

2. Invariant manifolds and limiting equations for a hyperbolic problems, A. L. Pereiraand L.A.F. Oliveira, Dynamics of Continuous Discrete and Impulsive Systems 7(4)503-524 (2000).


4. Large diffusivity finite-dimensional asymptotic behavior of semilinear wave equa-tion, Willie, R., Journal of Applied Mathematics 2003 (8) 409-427 (2003).


xxx) Perturbation of Diffusion and Upper-Semicontinuity of Attractors, AppliedMathematics Letters 12 37-42 (1999).

1. Nonlinear balance for reaction-diffusion equations under nonlinear boundary con-ditions Dissipativity and blow-up, Rodriguez-Bernal and A. Tajdine, J. Differen-tial Equations 169 (2)332-372 (2001).

2. Multinonlinear interactions in quasi-linear reaction-diffusion equations with non-linear boundary flux, XF Song and SN Zheng, Mathematical and Computer Mo-delling 39 (2-3) 133-144 (2004).

3. Homogenization of a reaction-diffusion equation with Robin interface conditions,B. Amaziane and L. Pankratov, Applied Mathematics Letters (19) (11) 1175-1179(2006).

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4. Global attractors in PDE, A. V. Babin, Handbook of dynamical systems 1B983–1085, Elsevier B.V., Amsterdam (2006).


xxxi) Non-autonomous perturbation of autonomous semilinear differential equa-tions: Continuity of local stable and unstable manifolds, J. Diff. Equations,233, 622-653 (2007)

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4. Non-autonomous attractors for singularly perturbed parabolic equations on Rn,K. Gabert and B. X. Wang, Nonlinear Analysis-Theory, Methods and Applications73 (10) 3336-3347 (2010).


xxxii) Continuation and asymptotics to semilinear parabolic equations with cri-tical nonlinearities, Journal of Mathematical Analysis and Applications 310 (2)557–578 (2005).

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http://arxiv.org/pdf/1003.0305v1

xxxiii) Patterns in parabolic problems with nonlinear boundary conditions, Journalof Mathematical Analysis and Applications 325 1216-1239 (2007).

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2. Layer solutions in a half-space for boundary reactions, X. Cabr and J. Sola-Morales, Communications on Pure and Applied Mathematics (12) 1678-1732(2005).


4. Generalized Convergence and Uniform Bounds for Semigroups of Restrictionsof Nonselfadjoint Operators, M. Pellicer, Journal of Dynamics and DifferentialEquations, 22 (3) 399-411 (2010).

xxxiv) On the continuity of pullback attractors for evolution processes , NonlinearAnalysis: Theory, Methods and Applications 71 (5-6) 1812-1824 (2010).

1. Upper semicontinuity of pullback attractors for nonclassical diffusion equations ,YH Wang and YM Qin, Journal of Mathematical Physics, 51 (2), Article Number:022701, FEB 2010.

2. Geometric Theory of Discrete Nonautonomous Dynamical Systems, C. Potzsche,Lecture Notes in Mathematics 2002, Springer-Verlag 2010

3. On the upper semicontinuity of pullback attractors with applications to the plateequations, YH Wang, Communications on Pure and Applied Analysis, 9 (6) 1653-1673 (2010).

4. Pullback attractors for a class of non-autonomous nonclassical diffusion equati-ons, T. A. Cung TA and Q. B. Tang, Nonlinear Analysis-Theory, Methods &Applications 73 (2) 399-412 (2010).

xxxv) Strongly damped wave problems: Bootstrapping and regularity of solutionsJournal of Differential Equations 244 (9) 2310-2333 (2008).

1. Structurally damped plate and wave equations with random point force in arbi-trary space dimensions, R. Schnaubelt and M. Veraar, Differential and IntegralEquations 23 (9-10) 957-988 (2010).



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xxxvi) Infinite Dimensional Dynamics Described by Ordinary Differential Equati-ons - Tese de Doutorado

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2. Reaction-Diffusion Systems on Domains with Thin Channels, S. M. Oliva, J.Differential Equations 132 (2) 437-479 (1995).


xxxvii) Parabolic problems with nonlinear boundary conditions in cell tissues, Workshop

on Differential Equations and Nonlinear Analysis (Aguas de Lindia, 1996). Resenhas3 (1) 123–138 (1997).

1. Analisi d’un model de suspensio-amortiment, Marta Pellicer i Sabadı, Phd Thesis,Universitat Politecnica de Catalunya, Departamento de Matematica Aplicada 1,Advisor Joan Sola -Morales Rubio, ISBN B.37100-2005/84-689-3159-4 (2004).



xxxviii) Dynamics of the viscous Cahn-Hilliard equation, Journal of Mathematical Analy-sis and Applications, 344, 703-725 (2008)

1. Extremal equilibria for monotone semigroups in ordered spaces with applicationto evolutionary equations, Jan W. Cholewa and Anıbal Rodriguez-Bernal, J. Dif-ferential Equations 249 (3) 485-525 (2010).

2. Upper semicontinuity of global attractors for the perturbed viscous Cahn-Hilliardequations M. Kania, Topol. Methods Nonlinear Anal. 32 (2) (2008) 327–345.

3. Dynamics of the modified viscous Cahn-Hilliard Equation in RN , T. Dlotko andC. Y. Sun, Topological Methods in Nonlinear Analysis 35 (2) 277-294 (2010).

xxxix) Attractors of Infinite Dimensional Non-Autonomous Dynamical Systems,Springer-Verlag - 2011

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2. Geometric theory of discrete nonautonomous dynamical systems C. Potzsche,Lecture Notes in Mathematics 2002, pp. 1-417 (2010).


xl) Strongly damped wave equations in W 1,p0 (Ω) × Lp(Ω), Discrete and Continuous

Dynamical Systems A, 230-239, Suplement 2007.


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570 Cita˘c~oes em Trabalhos de Pesquisa Indice h=13 · 2011-08-14 · 570 Cita˘c~oes em Trabalhos...

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