华东师范大学学报（自然科学版）Issue(1)：35-49,15.DOI:10.3969/j.issn.1000-5641.2018.01.005
记忆型抽象发展方程时间依赖吸引子的存在性
The existence of time-dependent attractors for abstract evolution equations with fading memory
摘要
Abstract
In this paper,the long-time dynamical behavior of solutions for the abstract evolution equations with fading memory is investigated on time-dependent spaces.By applying the modified pull-back attractors theory,techniques of a priori estimate and operator decomposition,we verify the asymptotic compactness of the process.Furthermore,the existence and regularity of time-dependent global attractors are proved.This paper improves some known results.关键词
抽象发展方程/时间依赖吸引子/记忆型/存在性/正则性Key words
abstract evolution equation/time-dependent attractor/fading memory/existence/regularity分类
数理科学引用本文复制引用
胡弟弟,汪璇..记忆型抽象发展方程时间依赖吸引子的存在性[J].华东师范大学学报（自然科学版）,2018,(1):35-49,15.基金项目
国家自然科学基金(11361053,11561064,11661071,11761062) （11361053,11561064,11661071,11761062）
甘肃省自然科学基金(145RJZA112) （145RJZA112）
西北师范大学创新团队基金(NWNU-LKQN-14-6) （NWNU-LKQN-14-6）
