Attractors for the semilinear reaction-diffusion equation with distribution derivatives in unbounded domains

Nonlinear Analysis, Theory, Methods and Applications

Volumn 63, Issue 1, 2005, Pages 49-65

  Sun, Chun You ^a   Zhong, Cheng Kui ^a  

^a LANZHOU UNIVERSITY   (China)

Author keywords

Distribution derivatives; Global attractor; Measures of noncompactness; Reaction diffusion equation

Indexed keywords

DIFFUSION; ESTIMATION; NONLINEAR EQUATIONS; POLYNOMIALS; PROBABILITY DISTRIBUTIONS;

DISTRIBUTION DERIVATIVES; GLOBAL ATTRACTORS; MEASURES OF NONCOMPACTNESS; REACTION-DIFFUSION EQUATIONS;

LINEAR EQUATIONS;

EID: 24344463910     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.04.034     Document Type: Article

References (19)

1. J.M. Arrieta, J.W. Cholewa, T. Dlotko, and A. Rodriguez-Bernal Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains Nonlinear Analysis 56 2004 515 554
2. A.V. Babin, and M.I. Vishik Attractors of Evolution Equations 1992 North-Holland Amsterdam
3. J.M. Ball Global attractors for damped semilinear wave equations Discrete Contin. Dynam. Systems 10 1&2 2004 31 52
4. J.W. Cholewa, T. Dlotko, Bi-spaces globle attractors in abstract parabolic equations, Evolution equations Banach Center Publications, vol. 60, 2003, pp. 13-26.
5. K. Deimling Nonlinear Functional Analysis 1985 Springer Berlin
6. J.K. Hale Asymptatic Behavior of Dissippative Systems 1988 AMS Providence, RJ
7. O.A. Ladyzenskaya Attractors for Semigroups and Evolution Equations 1991 Cambridge University Press Cambridge
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. Dynan. Differential Equations 1 1989 245 267
10. Q.F. Ma, S.H. Wang, and C.K. Zhong Necessary and sufficient conditions for the existence of global attractors for semigroups and applications Indiana University Math. J. 51 6 2002
11. M. Prizzi A remark on reaction-diffusion equations in unbounded domains Discrete Contin. Dynam. Systems 9 2 2003 281 286
12. A. Rodrigue-Bernal, and B. Wang Attractors for partly dissipative reaction diffusion systems in R n J. Math. Anal. Appl. 252 2000 790 803
13. J.C. Robinson Infinite-dimensional Dynamical Systems an Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors 2001 Cambridge University Press Cambridge
14. R. Rosa The global attractor for the 2D Navier-Stokes flow on some unbounded domains Nonlinear Anal. 32 1998 71 85
15. G.R. Sell, and Y. You Dynamics of Evolutionary Equations 2002 Springer New York
16. C.Y. Sun, S.Y. Wang, C.K. Zhong, Global attractors for a nonclassical diffusion equation, Acta. Math. Sin., in press.
17. R. Temam Infinite-dimensional Dynamical Systems in Mechanics and Physics 1997 Springer New York
18. B. Wang Attractors for reaction-diffusion equations in unbounded domains Physica D 128 1999 41 52
19. C.K. Zhong, C.Y. Sun, and M.F. Niu On the existence of global attractor for a class of infinite dimensional nonlinear dissipative dynamical systems Chin. Ann. Math. 26B:3 1-8 2005