Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory

被引：37

作者：

Souplet, P ^{[1
]}

机构：

[1] Univ Picardie, Dept Math, INSSET, F-02109 St Quentin, France

[2] Univ Versailles, Lab Math Appliquees, CNRS, UMR 7641, F-78035 Versailles, France

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2004年 / 55卷 / 01期

关键词：

nonlocal parabolic equation; nonlinear memory; blow-up rate; monotonicity;

D O I：

10.1007/s00033-003-1158-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the existence of monotone in time solutions for a semilinear parabolic equation with memory. The blow-up rate estimate of the solution is known to be a consequence of the monotonicity property.

引用

页码：28 / 31

页数：4