Wave Operators for the Coupled Klein-Gordon-Schrodinger Equations in Two Space Dimensions

被引：8

作者：

Shimomura, Akihiro ^{[1
]}

机构：

[1] Univ Tokyo, Tokyo 1138654, Japan

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2004年 / 47卷 / 01期

关键词：

Klein-Gordon-Schrodinger equations; Asymptotic behavior of solutions; Scattering theory; Wave operators;

D O I：

10.1619/fesi.47.63

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the scattering theory for the coupled Klein-Gordon-Schrodinger equation with the Yukawa type interaction in two space dimensions is studied. The scattering problem for this equation belongs to the borderline between the short range case and the long range one. The existence of the wave operators to this equation for small scattered states is proved without any restrictions on the support of the Fourier transform of them.

引用

页码：63 / 82

页数：20

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