Lower bounds for blow-up time in a nonlinear parabolic problem

被引：75

作者：

Payne, L. E. ^{[2
]}

Song, J. C. ^{[1
]}

机构：

[1] Hanyang Univ, Dept Appl Math, Ansan 426791, Gyeonggido, South Korea

[2] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 354卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Lower bound; Blow-up; Gradient nonlinearity;

D O I：

10.1016/j.jmaa.2009.01.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a parabolic problem with a gradient nonlinearity which was introduced by Chipot and Weissler [M. Chipot, F.B. Weissler, Some blow up results for a nonlinear parabolic problem with a gradient term, SIAM J. Math. Anal. 20 (1989) 886-907] (see also [B. Kawohl, L.A. Peletier, Observations on blow up and dead cores for nonlinear parabolic equations, Math. Z. 202 (1989) 207-217]), the question of blow-up is investigated. Specifically, if the solution blows up, a lower bound for the time of blow-up is derived (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：394 / 396

页数：3

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