The convergence rate for a semilinear parabolic equation with a critical exponent

被引：6

作者：

Stinner, Christian ^{[1
]}

机构：

[1] Univ Duisburg Essen, Fak Math, D-45117 Essen, Germany

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 04期

关键词：

Convergence rate; Semilinear parabolic equation; Steady state; Critical exponent; POSITIVE SOLUTIONS; BEHAVIOR;

D O I：

10.1016/j.aml.2010.10.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study solutions to the Cauchy problem for a semilinear parabolic equation with a nonlinearity which is critical in the sense of Joseph and Lundgren and establish the rate of convergence to regular steady states. In the critical case, this rate contains a logarithmic term which does not appear in the supercritical case. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：454 / 459

页数：6

共 16 条

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