Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-04-15

Journal: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals: EI、SCIE

Volume: 68

Issue: 8

Page Number: 2406-2416

ISSN: 0362-546X

Key Words: parabolic system; nonlocal sources; nonlocal boundary conditions; blow-up; weight functions

Abstract: This paper deals with a semilinear parabolic system with coupled nonlinear nonlocal sources subject to weighted nonlocal Dirichlet boundary conditions. We establish the conditions for global and non-global solutions. It is interesting to observe that the weight functions for the nonlocal Dirichlet boundary conditions play substantial roles in determining not only whether the solutions are global or non-global, but also whether (for the non-global solutions) the blowing up occurs for any positive initial data or just for large ones. (C) 2007 Elsevier Ltd. All rights reserved.