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

被引：0

作者：

Philippe Souplet

机构：

[1] Département de Mathématiques,

[2] Université de Picardie,undefined

[3] INSSET,undefined

[4] Laboratoire de Mathématiques Appliquées,undefined

[5] UMR CNRS 7641,undefined

[6] Université de Versailles,undefined

来源：

Zeitschrift für angewandte Mathematik und Physik ZAMP | 2004年 / 55卷

关键词：

35K60; 35B40; 35R10; Nonlocal parabolic equation; nonlinear memory; blow-up rate; monotonicity;

D O I：

暂无

中图分类号：

学科分类号：

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：3

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