Uniform attractors for non-autonomous Klein-Gordon-Schrodinger lattice systems

被引：20
|
作者：
Huang, Jin-wu [1 ]
Han, Xiao-ying [2 ]
Zhou, Sheng-fan [1 ]
机构：
[1] Shanghai Normal Univ, Dept Appl Math, Shanghai 200234, Peoples R China
[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2009年 / 30卷 / 12期
基金：
中国国家自然科学基金;
关键词：
compact uniform attractor; non-autonomous; Klein-Gordon-Schrodinger lattice system; Kolmogorov entropy; upper semicontinuity; COMPACT KERNEL SECTIONS; ASYMPTOTIC-BEHAVIOR; DYNAMIC-SYSTEMS;
D O I：
10.1007/s10483-009-1211-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of a compact uniform attractor for a family of processes corresponding to the dissipative non-autonomous Klein-Gordon-Schrodinger lattice dynamical system is proved. An upper bound of the Kolmogorov entropy of the compact uniform attractor is obtained, and an upper semicontinuity of the compact uniform attractor is established.
引用
收藏
页码：1597 / 1607
页数：11
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