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Non-autonomous wave dynamics with memory - Asymptotic regularity and uniform attractor
Sun, Chunyou1,2; Cao, Daomin1; Duan, Jinqiao3
2008-05-01
Source PublicationDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN1531-3492
Volume9Issue:3-4Pages:743-761
AbstractThe 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 AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000254122600016
PublisherAMER INST MATHEMATICAL SCIENCES
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/5976
Collection应用数学研究所
Corresponding AuthorSun, Chunyou
Affiliation1.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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