A Remark on Asymptotic Completeness for the Critical Nonlinear Klein-Gordon Equation

被引：0
作者：
Hans Lindblad
Avy Soffer
机构：
[1] University of California at San Diego,Department of Mathematics
[2] Rutgers University,Department of Mathematics
来源：
Letters in Mathematical Physics | 2005年 / 73卷
关键词：
Klein-Gordon; global existence; long-range scattering and completeness;
D O I：
暂无
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摘要：
We give a short proof of asymptotic completeness and global existence for the cubic Nonlinear Klein-Gordon equation in one dimension. Our approach to dealing with the long range behavior of the asymptotic solution is by reducing it, in hyperbolic coordinates to the study of an ODE. Similar arguments extend to higher dimensions and other long range type nonlinear problems.
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页码：249 / 258
页数：9
相关论文
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