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.

引用

页码：307 / 315

页数：9

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