Global attractors and steady state solutions for a class of reaction-diffusion systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:147

Article

Dung, L

关键词: Sobolev inequalities;    a priori estimates;    reaction-diffusion systems;    evolution operators;    index theory;   

DOI  :  10.1006/jdeq.1998.3435

来源: Elsevier

【 摘 要 】

We show that weak L-p dissipativity implies strong L-infinity dissipativity and therefore implies the existence of global attractors for a general class of reaction-diffusion systems. This generalizes the results of Alikakos and Rothe. The results on positive steady states (especially for systems of three equations) in our earlier work (J. Differential Equations 130 (1996). 59-91) are improved. (C) 1998 Academic Press.

【 授权许可】

Free