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论文类型：期刊论文

发表时间：2010-06-01

发表刊物：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

收录刊物：SCIE、EI、Scopus

卷号：11

期号：3

页面范围：2136-2140

ISSN号：1468-1218

关键字：Fujita exponents; Nonlinear diffusion; Blow-up; Localized source

摘要：This paper deals with Cauchy problem to nonlinear diffusion u(t) = Delta u(m) + lambda 1u(p1) (x, t) + lambda(2)u(p2)(x*(t), t) with m >= 1, p(1), lambda(1) >= 0 (i = 1, 2) and x*(t) Holder continuous. A new phenomenon is observed that the critical Fujita exponent p(c) = + infinity whenever lambda(2) > 0. More precisely, the solution blows up under any nontrivial and nonnegative initial data for all p = max{P(1) , P(2)} is an element of (1, +infinity). This result is then extended to a coupled system with localized sources as well as the cases with other nonlineanties. (C) 2009 Elsevier Ltd. All rights reserved.