| GLOBAL EXISTENCE AND ASYMPTOTICS BEHAVIOR OF SOLUTIONS FOR A RESONANT KLEIN-GORDON SYSTEM IN TWO SPACE DIMENSIONS |
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| 作者姓名： | XUE Ruying FANG Daoyuan |
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| 作者单位： | XUE RUYING FANG DAOYUAN Department of Mathematics，Zhejiang University，Hangzhou 310027，China. Department of Mathematics，Zhejiang University，Hangzhou 310027，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No.10271108). |
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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.
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| 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 |
| 收稿时间： | 2023/10/3 0:00:00 |
GLOBAL EXISTENCE AND ASYMPTOTICS
BEHAVIOR OF SOLUTIONS FOR A RESONANT
KLEIN-GORDON SYSTEM IN TWO
SPACE DIMENSIONS |
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| XUE Ruying,FANG Daoyuan.GLOBAL EXISTENCE AND ASYMPTOTICS BEHAVIOR OF SOLUTIONS FOR A RESONANT KLEIN-GORDON SYSTEM IN TWO SPACE DIMENSIONS[J].Chinese Annals of Mathematics,Series B,2005,26(1):89-104. |
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| Authors: | XUE Ruying and FANG Daoyuan |
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| Institution: | Department of Mathematics,Zhejiang University,Hangzhou,310027,China |
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| Abstract: | 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. |
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| Keywords: | Klein-Gordon equation Asymptotic behavior Global existence |
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