Blow-up of solutions for a class of semilinear reaction diffusion equations with mixed boundary conditions

被引：13

作者：

Ding, JT ^{[1
]}

机构：

[1] Shanxi Univ, Dept Math, Taiyuan, Shanxi, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 02期

关键词：

nonlinear; reaction diffusion equations; maximum principles;

D O I：

10.1016/S0893-9659(01)00111-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Hopf's maximum principles are utilized to deal with the problem on blow-up of the solutions for a class of semilinear reaction diffusion equations u,t = Deltau + f(x, u, q, t) (q = \delu\(2)), subject to mixed boundary conditions. Some nonexistence theorems of global solutions and the bounds of "blow-up time" are obtained. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：159 / 162

页数：4