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论文类型：期刊论文

发表时间：2008-04-15

发表刊物：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

收录刊物：SCIE、EI

卷号：68

期号：8

页面范围：2406-2416

ISSN号：0362-546X

关键字：parabolic system; nonlocal sources; nonlocal boundary conditions; blow-up; weight functions

摘要：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.