Modified wave operators for the coupled wave-Schrodinger equations in three space dimensions

被引：13

作者：

Shimomura, A ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年 / 9卷 / 06期

关键词：

Wave-Schrodinger equations; asymptotic behavior of solutions; long range scattering; modified wave operators;

D O I：

10.3934/dcds.2003.9.1571

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the scattering theory for the coupled Wave-Schrodinger equation with the Yukawa type interaction, which is certain quadratic interaction, in three space dimensions. This equation belongs to the borderline between the short range case and the long range one. We construct modified wave operators for that equation for small scattered states with no restriction on the support of the Fourier transform of them.

引用

页码：1571 / 1586

页数：16

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