The asymptotic theory of global solutions for semilinear wave equations in three space dimensions

被引：1

作者：

Lai, SY

Yang, X

Wu, YH

机构：

[1] Curtin Univ Technol, Dept Math & Stat, Bentley, WA 6845, Australia

[2] SW Jiaotong Univ, Dept Appl Math, Chengdu, Peoples R China

[3] Sichuan Normal Univ, Dept Math, Chengdu 610066, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 10-11期

基金：

中国国家自然科学基金;

关键词：

semilinear wave equation; asymptotes of global solutions; application;

D O I：

10.1016/j.camwa.2004.06.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the asymptotic theory of initial value problems for semilinear wave equations in three space dimensions. The well posedness and validity of formal approximations about time T = infinity are discussed in the classical sense of C-2. The results describe the validity of formal global solutions. Using a time-scale perturbation method, an application of the asymptotic theory is given to analyze a special wave equation in three space dimensions. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1535 / 1543

页数：9

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