Global attractors for the Klein-Gordon-Schrodinger equation in unbounded domains

被引：67
|
作者：
Lu, KN [1 ]
Wang, BX
机构：
[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA
[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年 / 170卷 / 02期
关键词：
global attractor; absorbing set; continuity; asymptotic compactness; Klein-Gordon-Schrodinger equation;
D O I：
10.1006/jdeq.2000.3827
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper. we study thr long time behavior of solutions for the Klein-Gordon-Schrodinger equation in the whole space R-n with n less than or equal to 3. We first prove the continuity of the solutions on initial data and then establish the asymptotic compactness of solutions. Finally, we show the existence of the global attractor for this model in the space H-k(R-n) x H-k(R-n) for each integer k greater than or equal to 1. (C) 2001 Academic Press.
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页码：281 / 316
页数：36
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