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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:354

Article

Payne, L. E.²  Song, J. C.¹ 

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

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

关键词: Lower bound;    Blow-up;    Gradient nonlinearity;   

DOI  :  10.1016/j.jmaa.2009.01.010

来源: Elsevier

【 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.

【 授权许可】

Free