Convergence rates in almost-periodic homogenization of higher-order elliptic systems

doi:10.3233/ASY-201627

CSpace

	Convergence rates in almost-periodic homogenization of higher-order elliptic systems
	Xu, Yao 1; Niu, Weisheng 2
	2021
发表期刊	ASYMPTOTIC ANALYSIS
ISSN	0921-7134
卷号	123 期号:1-2 页码:95-137
摘要	This paper concentrates on the quantitative homogenization of higher-order elliptic systems with almost-periodic coefficients in bounded Lipschitz domains. For almost-periodic coefficients in the sense of H. Weyl, we establish uniform local L-2 estimates for the approximate correctors. Under an additional assumption (1.8) on the frequencies of the coefficients, we derive the existence of true correctors as well as the O (epsilon) convergence rate in Hm-1 . As a byproduct, the large-scale Holder estimate and a Liouville theorem are obtained for higher-order elliptic systems with almost-periodic coefficients in the sense of Besicovitch. Since (1.8) is not well-defined for equivalence classes of almost-periodic functions in the sense of H. Weyl or Besicovitch, we provide another condition yielding the O (epsilon) convergence rate under perturbations of the coefficients.
关键词	Almost periodic homogenization higher-order elliptic systems quantitative estimates
DOI	10.3233/ASY-201627
收录类别	SCI
语种	英语
资助项目	China Postdoctoral Science Foundation[2019TQ0339] ; NSF of China[11971031] ; NSF of China[11701002]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000649085200004
出版者	IOS PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58660
专题	中国科学院数学与系统科学研究院
通讯作者	Niu, Weisheng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
推荐引用方式 GB/T 7714	Xu, Yao,Niu, Weisheng. Convergence rates in almost-periodic homogenization of higher-order elliptic systems[J]. ASYMPTOTIC ANALYSIS,2021,123(1-2):95-137.
APA	Xu, Yao,&Niu, Weisheng.(2021).Convergence rates in almost-periodic homogenization of higher-order elliptic systems.ASYMPTOTIC ANALYSIS,123(1-2),95-137.
MLA	Xu, Yao,et al."Convergence rates in almost-periodic homogenization of higher-order elliptic systems".ASYMPTOTIC ANALYSIS 123.1-2(2021):95-137.