Bounds for blow-up time in nonlinear parabolic problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:338

Article

Payne, L. E.²  Philippin, G. A.³  Schaefer, P. W.¹ 

[1] Univ Tennessee, Dept Math, Knoxville, TN 37916 USA

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

[3] Univ Laval, Dept Math & Stat, Quebec City, PQ G1K 7P4, Canada

关键词: blow-up;    bounds on blow-up time;    nonlinear parabolic problems;   

DOI  :  10.1016/j.jmaa.2007.05.022

来源: Elsevier

【 摘 要 】

A first order differential inequality technique is used on suitably defined auxiliary functions to determine lower bounds for blow-up time in initial-boundary value problems for parabolic equations of the form u(t) = div(rho(u) grad u) + f(u) if blow-up occurs. In addition, conditions which ensure that blow-up occurs or does not occur are presented. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free