Global existence and blow-up for a class of nonlinear reaction diffusion problems

被引：2

作者：

Ding, Juntang ^{[1
]}

机构：

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

来源：

BOUNDARY VALUE PROBLEMS | 2014年

基金：

中国国家自然科学基金;

关键词：

reaction diffusion problem; global existence; blow-up; SEMILINEAR HEAT-EQUATION; PARABOLIC EQUATIONS; CRITICAL EXPONENTS;

D O I：

10.1186/s13661-014-0168-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the global existence and blow-up of the solution for a class of nonlinear reaction diffusion problems. The purpose of this paper is to establish conditions on the data to guarantee the blow-up of the solution at some finite time, and conditions to ensure that the solution remains global. In addition, an upper bound for the 'blow-up time', an upper estimate of the 'blow-up rate', and an upper estimate of the global solution are also specified. Finally, as applications of the obtained results, some examples are presented.

引用

页码：1 / 11

页数：11

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