The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations

Journal of Differential Equations

Volumn 223, Issue 2, 2006, Pages 367-399

  Zhong, Cheng Kui ^a   Yang, Mei Hua ^a   Sun, Chun You ^a  

^a LANZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645129548     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2005.06.008     Document Type: Article

References (16)

1. A.V. Babin M.I. Vishik Attractors of Evolution Equations 1992 North-Holland Amsterdam
2. V.V. Chepyzhov, M.I. Vishik, Attractors for Equations of Mathematical Physics, American Mathematical Society Colloquium Publications, vol. 49, American Mathematical Society, Providence, RI, 2002.
3. J.W. Cholewa T. Dlotko Global Attractors in Abstract Parabolic Problems 2000 Cambridge University press Cambridge
4. K. Deimling Nonlinear Functional Analysis 1985 Springer Berlin
5. J.K. Hale Asymptotic Behavior of Dissipative Systems 1988 American Mathematical Society Providence, RI
6. O.A. Ladyzhenskaya Attractors for Semigroups and Evolution Equations, Leizioni Lincei 1991 Cambridge University Press Cambridge, New York
7. Q.F. Ma S.H. Wang C.K. Zhong Necessary and sufficient conditions for the existence of global attractors for semigroups and applications Indiana University Math. J. 51 6 2002
8. M. Marion attractors for reactions-diffusion equations: Existence and estimate of their dimension Appl. Anal. 25 1987 101-147
9. M. Marion Approximate inertial manifolds for reaction-diffusion equations in high space dimension J. Dynamic Differential Equations 1 1989 245-267
10. J.C. Robinson Infinite-dimensional Dynamical Systems an Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors 2001 Cambridge University Press Cambridge
11. G.R. Sell Y. You Dynamics of Evolutionary Equations 2002 Springer New York
12. C.Y. Sun, S.Y. Wang, C.K. Zhong, Global attractors for a nonclassical diffusion equation, Acta Math. Sinica, English Series, in press.
13. C.Y. Sun, C.K. Zhong, Attractors for the semilinear reaction-diffusion equation with distribution derivatives in unbounded domains, Nonlinear Anal. TMA, in press.
14. R. Temam Infinite-dimensional Dynamical Systems in Mechanics and Physics 1997 Springer New York
15. Y.L. Xiao Attractors for a nonclassical diffusion equation Acta Math. Appl. Sinca, English Series 18 1 2002 273-276
16. C.K. Zhong C.Y. Sun M.F. Niu On the existence of global attractor for a class of infinite dimensional nonlinear dissipative dynamical systems Chinese Ann. Math. 26B 3 2005 1-8