记忆型无阻尼抽象发展方程的强时间依赖全局吸引子

数学物理学报 ›› 2019, Vol. 39 ›› Issue (1): 81-94.

记忆型无阻尼抽象发展方程的强时间依赖全局吸引子

胡弟弟,汪璇*()

西北师范大学数学与统计学院兰州 730070

收稿日期:2017-03-08 出版日期:2019-02-26 发布日期:2019-03-12
通讯作者: 汪璇 E-mail:wangxuan@nwnu.edu.cn; 2295423708@qq.com
基金资助:
国家自然科学基金(11761062);国家自然科学基金(11561064);国家自然科学基金(11661071);西北师范大学创新团队基金(NWNU-LKQN-14-6)

The Strong Time-Dependent Global Attractors for the Non-Damping Abstract Evolution Equations with Fading Memory

Didi Hu,Xuan Wang*()

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070

Received:2017-03-08 Online:2019-02-26 Published:2019-03-12
Contact: Xuan Wang E-mail:wangxuan@nwnu.edu.cn; 2295423708@qq.com
Supported by:
the NSFC(11761062);the NSFC(11561064);the NSFC(11661071);the Young Teachers Scientific Research Ability Promotion Plan of Northwest Normal University(NWNU-LKQN-14-6)

摘要/Abstract

摘要：

运用修正的拉回吸引子理论、先验估计技巧和算子分解方法，得到了记忆型无阻尼抽象发展方程强时间依赖全局吸引子的存在性和正则性.

关键词: 衰退记忆, 抽象发展方程, 强时间依赖全局吸引子, 存在性, 正则性

Abstract:

In this paper, by applying the modified pullback attractors theory, asymptotic a priori estimate method and operator decomposition technique, we obtain the existence as well as regularity of strong time-dependent global attractors for the non-damping abstract evolution equations with fading memory.

Key words: Fading memory, Abstract evolution equation, Strong time-dependent global attractor, Existence, Regularity

中图分类号:

O175.27

胡弟弟,汪璇. 记忆型无阻尼抽象发展方程的强时间依赖全局吸引子[J]. 数学物理学报, 2019, 39(1): 81-94.

Didi Hu,Xuan Wang. The Strong Time-Dependent Global Attractors for the Non-Damping Abstract Evolution Equations with Fading Memory[J]. Acta mathematica scientia,Series A, 2019, 39(1): 81-94.

参考文献 16

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