On blow-up of solutions for a class of nonlinear parabolic equations with Neumann boundary conditions

被引：0

作者：

Ding, JT ^{[1
]}

机构：

[1] Shanxi Univ, Dept Math, Taiyuan 030006, Shanxi, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2003年 / 34卷 / 02期

关键词：

nonlinear parabolic equations; blow-up solutions; blow-up time; maximum principles;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Hopf's maximum principles are utilized to deal with the problem on blow-up of the solutions for a class of nonlinear parabolic equations u(t) = del (a (u) del u) + g (x, t) f (u), subject to Neumann boundary conditions. Some nonexistence theorems of global solutions and the bounds of "blow-up time" are obtained.

引用

页码：265 / 275

页数：11

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