Optimal estimates for blowup rate and behavior for nonlinear heat equations

被引：0
|
作者：
Merle, F
Zaag, H
机构：
[1] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France
[2] Ecole Normale Super, Dept Math & Informat, F-75230 Paris, France
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1998年 / 51卷 / 02期
关键词：
D O I：
10.1002/(SICI)1097-0312(199802)51:2<139::AID-CPA2>3.0.CO;2-C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first describe all positive bounded solutions of partial derivative w/partial derivative s = Delta w - 1/2y.del w - w/p - 1 + w(p) where (y, s) is an element of R-N x R, 1 < p, and (N - 2)p less than or equal to N + 2. We then obtain for blowup solutions u(t) of partial derivative u/partial derivative t = Delta u + u(p) uniform estimates at the blowup time and uniform space-time comparison with solutions of u' = u(p). (C) 1998 John Wiley & Sons, Inc.
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页码：139 / 196
页数：58
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