Upper semicontinuity of attractors for the Klein-Gordon-Schrodinger equation

被引：17
|
作者：
Lu, KN [1 ]
Wang, BX
机构：
[1] Brigham Young Univ, Dept Math, Provo, UT 84620 USA
[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
[3] Univ Kansas, Dept Math, Lawrence, KS 66045 USA
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2005年 / 15卷 / 01期
基金：
美国国家科学基金会;
关键词：
global attractor; upper semicontinuity; Klein-Gordon-Schrodinger equation;
D O I：
10.1142/S0218127405012077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the Klein-Gordon-Schrodinger equation defined on R-n (n <= 3) and Omega(m) = {x is an element of R-n : vertical bar x vertical bar <= m}. Let A and A(m) be the global attractors of the equation corresponding to R-n and Omega(m), respectively. Then we prove that for any neighborhood U of A, the global attractor A(m) enters U when m is large enough.
引用
收藏
页码：157 / 168
页数：12
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