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

GLOBAL EXISTENCE AND ASYMPTOTICS BEHAVIOR OF SOLUTIONS FOR A RESONANT KLEIN-GORDON SYSTEM IN TWOSPACE DIMENSIONS
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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. 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.
作者 XUERUYING FANGDAOYUAN
机构地区 DepartmentofMathematics DepartmentofMathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2005年第1期89-104,共16页 数学年刊（B辑英文版）
基金 Project supported by the National Natural Science Foundation of China (No.10271108).
关键词 克莱恩-戈登方程 渐近性 全局存在性 非线性偏微分方程 Klein-Gordon equation, Asymptotic behavior, Global existence
分类号 O175.29 [理学—基础数学]
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Chinese Annals of Mathematics,Series B
2005年 第1期

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