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Indexed by:期刊论文

Date of Publication:2010-01-15

Journal:NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:72

Issue:2

Page Number:867-875

ISSN No.:0362-546X

Key Words:Non-simultaneous blow-up; Simultaneous blow-up; Uniform blow-up profile

Abstract:This paper deals with localized parabolic equations u(t) = Delta u + u(m)(x(0), t)e(pv(x0,t)), v(t) = Delta u + u(q)(x(0), t)e(nv(x0,f)) with homogeneous Dirichlet boundary conditions, where x(0) is any fixed point in a bounded domain of R(N). The optimal classification of non-simultaneous and simultaneous blow-up phenomena is proposed for all of the nonnegative exponents. Moreover, uniform blow-up profiles are obtained for all kinds of simultaneous blow-up solutions. (C) 2009 Elsevier Ltd. All rights reserved.