Non-autonomous wave dynamics with memory - Asymptotic regularity and uniform attractor

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	Non-autonomous wave dynamics with memory - Asymptotic regularity and uniform attractor
	Sun, Chunyou 1,2; Cao, Daomin1 ; Duan, Jinqiao 3
	2008-05-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	9 期号:3-4 页码:743-761
摘要	The dynamical behavior of non-autonomous strongly damped wave-type evolutionary equations with linear memory, critical nonlinearity, and time-dependent external forcing is investigated. The time-dependent external forcing is assumed to be only translation-bounded, instead of translation-compact. First, the asymptotic regularity of solutions is proved, and then the existence of the compact uniform attractor together with its structure and regularity is obtained.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000254122600016
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5976
专题	应用数学研究所
通讯作者	Sun, Chunyou
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 3.IIT, Dept Appl Math, Chicago, IL 60616 USA
推荐引用方式 GB/T 7714	Sun, Chunyou,Cao, Daomin,Duan, Jinqiao. Non-autonomous wave dynamics with memory - Asymptotic regularity and uniform attractor[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2008,9(3-4):743-761.
APA	Sun, Chunyou,Cao, Daomin,&Duan, Jinqiao.(2008).Non-autonomous wave dynamics with memory - Asymptotic regularity and uniform attractor.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,9(3-4),743-761.
MLA	Sun, Chunyou,et al."Non-autonomous wave dynamics with memory - Asymptotic regularity and uniform attractor".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 9.3-4(2008):743-761.