Simple Non-Linear Klein–Gordon Equations in Two Space Dimensions, with Long-Range Scattering

被引：0
|
作者：
Erik Taflin
机构：
[1] Ecole International des Sciences du Traitement de l’Information,EISTI
来源：
Letters in Mathematical Physics | 2007年 / 79卷
关键词：
35L70; 35Q75; 35P25; 74J20; non-linear representations; non-linear Klein-Gordon equations; long range scattering; normal forms;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish that solutions, to the most simple non-linear Klein–Gordon (NLKG) equations in two space dimensions with mass resonance, exhibits long-range scattering phenomena. Modified wave operators and solutions are constructed for these equations. We also show that the modified wave operators can be chosen such that they linearize the non-linear representation of the Poincaré group defined by the NLKG.
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页码：175 / 192
页数：17
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