Existence and uniqueness of energy solution to Klein-Gordon-Schrodinger equations

被引：11
|
作者：
Shi, Qihong [1 ]
Wang, Shu [2 ]
Li, Yong [2 ]
机构：
[1] Hebei Finance Univ, Dept Basic Courses, Baoding 071051, Peoples R China
[2] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 01期
关键词：
Nonlinear; KGS equations; Finite-energy solution; Existence; Uniqueness; UNIFORM DECAY; SYSTEM;
D O I：
10.1016/j.jde.2011.09.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the initial value problem for the non-linear Klein-Gordon-Schrodinger (KGS) equations in R(3+1) time-space. By using viscous approach, the existence of the global finite-energy solution is established for the nonlinear KGS equations by compactness argument. In addition, the uniqueness of the solution is proved by introducing a function with integral form. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：168 / 180
页数：13
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