On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions

被引：10

作者：

Arrieta, Jose M. ^{[1
]}

机构：

[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 01期

关键词：

reaction-diffusion; nonlinear boundary conditions; bounded solutions; blow-up;

D O I：

10.1090/S0002-9939-07-08980-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give conditions on the nonlinearities of a reaction-diffusion equation with nonlinear boundary conditions that guarantee that any solution starting at bounded initial data is bounded locally around a certain point x(0) of the boundary, uniformly for all positive time. The conditions imposed are of a local nature and need only to hold in a small neighborhood of the point x(0).

引用

页码：151 / 160

页数：10

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