Large-time behavior of solutions for a nonlinear system of wave equations

被引：0

作者：

Kubo, Hideo ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600043, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期

关键词：

Nonlinear wave equations; Large-time behavior; Radially symmetric solution;

D O I：

10.1016/j.na.2005.03.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note deals with the initial value problem for a nonlinear system of wave equations. First we show the global existence of small amplitude solutions to the system. Then we study large-time behavior of the global solutions. In some cases we find different behavior of the solution from the free solution. Such a behavior is characterized as a solution to a certain inhomogeneous wave equations. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：E2279 / E2287

页数：9

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