GLOBAL EXISTENCE AND BLOW-UP FOR A SYSTEM OF HEAT-EQUATIONS WITH NONLINEAR BOUNDARY-CONDITIONS

被引：33
|
作者：
DENG, K
机构：
[1] Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1995年 / 18卷 / 04期
关键词：
D O I：
10.1002/mma.1670180405
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider non-negative solutions of [GRAPHICS] We prove that if pq less than or equal to 1 every solution remains bounded, while all solutions blow up in a finite time if pq > 1. We also show that if p, q > 1, then blow-up can only occur on the boundary.
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页码：307 / 315
页数：9
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