DYNAMICS OF STRONGLY DAMPED WAVE EQUATIONS IN LOCALLY UNIFORM SPACES: ATTRACTORS AND ASYMPTOTIC REGULARITY

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	DYNAMICS OF STRONGLY DAMPED WAVE EQUATIONS IN LOCALLY UNIFORM SPACES: ATTRACTORS AND ASYMPTOTIC REGULARITY
	Yang, Meihua 1,2; Sun, Chunyou 3,4
	2009
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9947
卷号	361 期号:2 页码:1069-1101
摘要	This paper is dedicated to analyzing the dynamical behavior of strongly damped wave equations with critical nonlinearity in locally uniform spaces. After proving the global well-posedness, we first establish the asymptotic regularity of the solutions which appears to be optimal and the existence of a bounded (in H(lu)(2)(R(N)) x H(lu)(1)(R(N))) subset which attracts exponentially every initial H(lu)(1)(R(N)) x L(lu)(2)(R(N))-bounded set with respect to the H(lu)(1)(R(N)) x L(lu)(2)(R(N))-norm. Then, we show there is a (H(lu)(1)(R(N)) x L(lu)(2)(R(N)), H(p)(1)(R(N)) x H(p)(1)(R(N)))-global attractor, which reflects the strongly damped property of Delta(ut) to some extent.
关键词	Strongly damped wave equation locally uniform spaces critical exponent asymptotic regularity attractors
语种	英语
资助项目	NSFC[10601021] ; NSFC[10726024]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000260555500020
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7629
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Meihua
作者单位	1.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China 2.Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China 3.Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China 4.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yang, Meihua,Sun, Chunyou. DYNAMICS OF STRONGLY DAMPED WAVE EQUATIONS IN LOCALLY UNIFORM SPACES: ATTRACTORS AND ASYMPTOTIC REGULARITY[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2009,361(2):1069-1101.
APA	Yang, Meihua,&Sun, Chunyou.(2009).DYNAMICS OF STRONGLY DAMPED WAVE EQUATIONS IN LOCALLY UNIFORM SPACES: ATTRACTORS AND ASYMPTOTIC REGULARITY.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,361(2),1069-1101.
MLA	Yang, Meihua,et al."DYNAMICS OF STRONGLY DAMPED WAVE EQUATIONS IN LOCALLY UNIFORM SPACES: ATTRACTORS AND ASYMPTOTIC REGULARITY".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 361.2(2009):1069-1101.