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.
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页码：1535 / 1543
页数：9
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