Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-04-01

Journal: APPLIED MATHEMATICS AND COMPUTATION

Included Journals: EI、SCIE

Volume: 197

Issue: 2

Page Number: 819-827

ISSN: 0096-3003

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

Abstract: 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.