Necessary and sufficient conditions for the existence of time-dependent global attractor and application

被引：24

作者：

Meng, Fengjuan ^{[1
]}

Liu, Cuncai ^{[1
]}

机构：

[1] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 03期

关键词：

SEMIGROUPS; EQUATIONS;

D O I：

10.1063/1.4978329

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we are concerned with infinite dimensional dynamical systems in timedependent space. First, we characterize some necessary and sufficient conditions for the existence of the time-dependent global attractor by using a measure of noncompactness. Then, we give a new method to verify the sufficient condition. As a simple application, we prove the existence of the time-dependent global attractor for the damped equation in strong topological space. Published by AIP Publishing.

引用

页数：9

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