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| GLOBAL EXISTENCE AND ASYMPTOTICSBEHAVIOR OF SOLUTIONS FOR A RESONANTKLEIN-GORDON SYSTEM IN TWOSPACE DIMENSIONS |
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Citation： |
XUE Ruying,FANG Daoyuan.GLOBAL EXISTENCE AND ASYMPTOTICSBEHAVIOR OF SOLUTIONS FOR A RESONANTKLEIN-GORDON SYSTEM IN TWOSPACE DIMENSIONS[J].Chinese Annals of Mathematics B,2005,26(1):89~104 |
| Page view： 1270
Net amount： 1100 |
Authors： |
XUE Ruying; FANG Daoyuan |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10271108). |
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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. |
Keywords： |
Klein-Gordon equation, Asymptotic behavior, Global existence |
Classification： |
35L70 |
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