Rates of convergence to zero for a semilinear parabolic equation with a critical exponent

被引：0

作者：

Stinner, Christian ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 05期

关键词：

Convergence to zero; Semilinear parabolic equation; Critical exponent; SLOW CONVERGENCE;

D O I：

10.1016/j.na.2010.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study nonnegative solutions to the Cauchy problem for a semilinear parabolic equation with a nonlinearity which is critical in the sense of Joseph and Lundgren. We establish the rate of convergence to zero of solutions that start from initial data which are near the singular steady state. In the critical case, this rate contains a logarithmic term which does not appear in the supercritical case and makes the calculations more delicate. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1945 / 1959

页数：15

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