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论文类型：期刊论文

发表时间：2008-04-01

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：SCIE、EI

卷号：197

期号：2

页面范围：819-827

ISSN号：0096-3003

关键字：asymptotic analysis; parabolic equation; localized source; blow-up set; total blow-up; single point blow-up; weight function

摘要：This paper deals with a nonlinear parabolic equation with a more complicated source term, which is a product of localized source u(q)(0, t), local source u(p)(x, t), and weight function a(x). We investigate how the three factors influence the asymptotic behavior of solutions. It is shown that the blow-up set consists of single point {x = 0} if p > 1. When 0 <= p <= 1 with p + q > 1, the blow-up take place everywhere in B. Moreover, the blow-up rate estimate is established with more precise coefficients determined. (C) 2007 Elsevier Inc. All rights reserved.