A result on the existence of global attractors for semigroups of closed operators

被引：60
作者：
Pata, Vittorino
Zelik, Sergey
机构：
[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy
[2] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2007年 / 6卷 / 02期
关键词：
semigroups of operators; abstract Cauchy problems; closed operators; global attractors; connected attractors;
D O I：
10.3934/cpaa.2007.6.481
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we establish a general result on the existence of global attractors for semigroups S(t) of operators acting on a Banach space X, where the strong continuity S(t) is an element of C(X, X) is replaced by the much weaker requirement that S(t) be a closed map.
引用
收藏
页码：481 / 486
页数：6
相关论文
共 8 条
[1]  
Babin A.V., 1992, ATTRACTORS EVOLUTION
[2]  
Chepyzhov V. V., 2002, American Mathematical Society Colloquium Publications
[3]  
Hale J.K., 1988, MATH SURVEYS MONOGRA, V25
[4]  
Haraux A., 1991, SYSTEMES DYNAMIQUES
[5]  
PATA V, IN PRESS ADV MATH SC
[6]  
Robinson J. C., 2001, CAM T APP M
[7]  
Sell G. R., 2002, DYNAMICS EVOLUTIONAR
[8]  
Temam R., 1997, Infinite-dimensional dynamical systems in mechanics and physics, V68, DOI [10.1007/978-1-4684-0313-8, 10.1007/978-1-4684-9016-9_5, DOI 10.1007/978-1-4684-0313-8]
1