Decay bounds in initial-boundary value problems for nonlinear parabolic systems

被引：2

作者：

Payne, LE

Schaefer, PW ^{[1
]}

机构：

[1] Univ Tennessee, Dept Math, Knoxville, TN 37916 USA

[2] Cornell Univ, Dept Math, Ithaca, NY 14850 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 50卷 / 07期

关键词：

parabolic systems; maximum principles; exponential decay;

D O I：

10.1016/S0362-546X(01)00784-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Dirichlet type initial-boundary value problems for three different systems of nonlinear second order parabolic equations were examined. The decay bounds for the solutions of the problems and their derivatives were established. The form of nonlinearities and the data in the systems were restricted to insure the boundedness of solutions.

引用

页码：899 / 912

页数：14

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