GLOBAL EXISTENCE AND ASYMPTOTICS BEHAVIOR OF SOLUTIONS FOR A RESONANT KLEIN-GORDON SYSTEM IN TWO SPACE DIMENSIONS

被引：0

作者：

XUE RUYING FANG DAOYUAN Department of Mathematics

机构：

来源：

Chinese Annals of Mathematics | 2005年 / 01期

基金：

中国国家自然科学基金;

关键词：

Klein-Gordon equation; Asymptotic behavior; Global existence;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

The authors study a resonant Klein-Gordon system with convenient nonlinearities in two space dimensions, prove that such a system has global solutions for small, smooth, compactly supported Cauchy data, and find that the asymptotic profile of the solution is quite different from that of the free solution.

引用

页码：89 / 104

页数：16

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