Quantitative estimates in reiterated homogenization

doi:10.1016/j.jfa.2020.108759

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	Quantitative estimates in reiterated homogenization
	Niu, Weisheng 1; Shen, Zhongwei 2; Xu, Yao 3
	2020-12-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	279 期号:11 页码:39
摘要	This paper investigates quantitative estimates in the homogenization of second-order elliptic systems with periodic coefficients that oscillate on multiple separated scales. We establish large-scale interior and boundary Lipschitz estimates down to the finest microscopic scale via iteration and rescaling arguments. We also obtain a convergence rate in the L-2 space by the reiterated homogenization method. (C) 2020 Elsevier Inc. All rights reserved.
关键词	Reiterated homogenization Convergence rates Large-scale regularity estimates
DOI	10.1016/j.jfa.2020.108759
收录类别	SCI
语种	英语
资助项目	NSF of China[11971031] ; NSF of China[11701002] ; NSF[DMS-1856235] ; China Postdoctoral Science Foundation[2019TQ0339]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000575209400005
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52285
专题	中国科学院数学与系统科学研究院
通讯作者	Shen, Zhongwei
作者单位	1.Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China 2.Univ Kentucky, Dept Math, Lexington, KY 40506 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Niu, Weisheng,Shen, Zhongwei,Xu, Yao. Quantitative estimates in reiterated homogenization[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2020,279(11):39.
APA	Niu, Weisheng,Shen, Zhongwei,&Xu, Yao.(2020).Quantitative estimates in reiterated homogenization.JOURNAL OF FUNCTIONAL ANALYSIS,279(11),39.
MLA	Niu, Weisheng,et al."Quantitative estimates in reiterated homogenization".JOURNAL OF FUNCTIONAL ANALYSIS 279.11(2020):39.