Energy decay and nonexistence of solution for a reaction-diffusion equation with exponential nonlinearity

被引：1

作者：

Dai, Huiya ^{[1
,2
]}

Zhang, Hongwei ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

[2] Henan Univ Technol, Dept Math, Zhengzhou 450000, 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 equation; stable and unstable set; exponential reaction term; decay rate; global nonexistence; BLOW-UP; INSTABILITY; EXISTENCE; STABILITY; THEOREMS; FORM;

D O I：

10.1186/1687-2770-2014-70

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we consider the energy decay result and nonexistence of global solution for a reaction-diffusion equation with generalized Lewis function and nonlinear exponential growth. There are very few works on the reaction-diffusion equation with exponential growth f as a reaction term by potential well theory. The ingredients used are essentially the Trudinger-Moser inequality.

引用

页数：9

共 50 条

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