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
Source Publication	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
Volume	9 Issue:3-4 Pages:743-761
Abstract	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.
Language	英语
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000254122600016
Publisher	AMER INST MATHEMATICAL SCIENCES
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/5976
Collection	应用数学研究所
Corresponding Author	Sun, Chunyou
Affiliation	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
Recommended Citation 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.

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