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

共 50 条

[31] Existence and uniqueness of energy solution to Klein-Gordon-Schrodinger equations
Shi, Qihong
Wang, Shu
Li, Yong
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (01) : 168 - 180
[32] Efficient and accurate numerical methods for the Klein-Gordon-Schrodinger equations
Bao, Weizhu
Yang, Li
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 225 (02) : 1863 - 1893
[33] Efficient Structure Preserving Schemes for the Klein-Gordon-Schrodinger Equations
Zhang, Yanrong
Shen, Jie
[J]. JOURNAL OF SCIENTIFIC COMPUTING, 2021, 89 (02)
[34] Wellposedness in energy space for the nonlinear Klein-Gordon-Schrodinger system
Shi, Qi-Hong
Li, Wan-Tong
Wang, Shu
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 251 : 55 - 64
[35] Modified wave operators for the coupled wave-Schrodinger equations in three space dimensions
Shimomura, A
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, 9 (06) : 1571 - 1586
[36] Wave operators to a quadratic nonlinear Klein–Gordon equation in two space dimensions revisited
Nakao Hayashi
Pavel I. Naumkin
Satoshi Tonegawa
[J]. Zeitschrift für angewandte Mathematik und Physik, 2012, 63 : 655 - 673
[37] Attractors for the Klein-Gordon-Schrodinger equation
Wang, B
Lange, H
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (05) : 2445 - 2457
[38] Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions
Hayashi, Nakao
Naumkin, Pavel I.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 3826 - 3833
[39] On Klein-Gordon-Schrodinger Control System
Wang, Quan-Fang
[J]. 2016 EUROPEAN CONTROL CONFERENCE (ECC), 2016, : 2253 - 2257
[40] A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrodinger equations
Wang, Shanshan
Zhang, Luming
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) : 799 - 812

← 1 2 3 4 5 →