On the asymptotic behaviour of solutions of some nonlinear elliptic and parabolic equations

被引：8

作者：

Quintanilla, R ^{[1
]}

机构：

[1] Univ Politecn Catalunya, Dept Matemat Aplicada 2, Barcelona 08222, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 52卷 / 04期

关键词：

spatial decay estimates; elliptic nonlinear equations; parabolic nonlinear equations; energy; methods; diffusion-convection;

D O I：

10.1016/S0362-546X(02)00166-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the spatial asymptotic behaviour of some nonlinear elliptic and parabolic equations related with the process of diffusion-convection. We obtain results of the kind of the Phragmen-Lindelof alternative. The main idea of the paper is to obtain a nonlinear ordinary differential inequality which is satisfied by a certain measure of the solutions. This ordinary inequality was studied by Horgan and Payne in a recent paper. We obtain our results with the help of estimates known for this inequality. When the solutions tend to zero, we also obtain an estimate for the amplitude term. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1275 / 1293

页数：19

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