Asymptotic behavior of solutions to a class of semilinear parabolic equations

被引：6

作者：

Guo, Wei ^{[1
]}

Wang, Xinyue ^{[2
]}

Zhou, Mingjun ^{[3
]}

机构：

[1] Beihua Univ, Sch Math & Stat, Jilin 132013, Jilin, Peoples R China

[2] Jilin Univ, Affiliated Middle Sch, Expt Sch, Changchun 130021, Peoples R China

[3] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国国家自然科学基金;

关键词：

convection; reaction; asymptotic behavior; CRITICAL FUJITA EXPONENTS; LARGE TIME BEHAVIOR; BLOW-UP; NEUMANN PROBLEM; HEAT-EQUATION; DEGENERATE; DOMAINS; THEOREMS;

D O I：

10.1186/s13661-016-0578-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the asymptotic behavior of solutions to the homogeneous Neumann exterior problems of a class of semilinear parabolic equations with convection and reaction terms. The critical Fujita exponents theorems are established. It is shown that the global existence and blow-up of solutions depends on the reaction term, the convection term and the spatial dimension.

引用

页数：9

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