On the asymptotic behavior of solutions of nonlinear second-order parabolic equations

被引：0

作者：

V. A. Kondratiev

机构：

[1] Moscow State University,Faculty of Mechanics and Mathematics

来源：

Proceedings of the Steklov Institute of Mathematics | 2008年 / 260卷

关键词：

Asymptotic Behavior; Maximum Principle; STEKLOV Institute; Satisfying Condition; Harnack Inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the asymptotic behavior as t → +∞ of solutions to a semilinear second-order parabolic equation in a cylindrical domain bounded in the spatial variable. We find the leading term of the asymptotic expansion of a solution as t → +∞ and show that each solution of the problem under consideration is asymptotically equivalent to a solution of some nonlinear ordinary differential equation.

引用

页码：172 / 184

页数：12

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