BLOW-UP OF SOLUTIONS TO QUASILINEAR PARABOLIC EQUATIONS

被引：0

作者：

Li Fucai ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 18卷 / 04期

基金：

中国博士后科学基金;

关键词：

Quasilinear parabolic equation; global existence; blow-up;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the qualitative properties of solutions to certain quasilinear parabolic equations. Under appropriate conditions, we obtain that the solution either exists globally or blows up in finite time by making use of the energy method and subsolution techniques. We find out that the behavior of solution heavily depends on the sign and the growth rate of the nonlinear reaction term and the nonlinear flux through boundary at infinity.

引用

页码：327 / 340

页数：14

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