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Indexed by:期刊论文

Date of Publication:2000-01-01

Journal:PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Included Journals:Scopus、SCIE

Volume:130

Issue:5

Page Number:1165-1180

ISSN No.:0308-2105

Abstract:The important theory of invariant regions in reaction-diffusion equations has only restricted applications because of its strict requirements on both the reaction terms and the regions. The concept of weakly invariant regions was introduced by us to admit wider reaction-diffusion systems. In this paper we first extend the L-infinity estimate technique of semilinear parabolic equations of Rothe to the more general case with convection terms, and then propose more precise criteria for the bounded weakly invariant regions. We illustrate, by three model examples, that they are Very convenient for establishing the global existence of solutions for reaction-diffusion systems, especially those from ecology and chemical processes.