Homogenization of elliptic systems with stratified structure revisited

doi:10.1080/03605302.2019.1709871

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	Homogenization of elliptic systems with stratified structure revisited
	Xu, Yao 1; Niu, Weisheng 2
	2020-01-08
发表期刊	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0360-5302
页码	35
摘要	We consider quantitative estimates in periodic homogenization for second-order elliptic systems with stratified structure on bounded Lipschitz domains. Under rather general smoothness assumptions on A and rho, we establish a sharp-order scale-invariant convergence rate in As a byproduct, a qualitative homogenization result is also derived under more or less sharp conditions on A and rho. The results obtained here improve our previous results greatly.
关键词	Convergence rates elliptic systems periodic homogenization
DOI	10.1080/03605302.2019.1709871
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 ; Mathematics
WOS记录号	WOS:000506558600001
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50484
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, 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. Homogenization of elliptic systems with stratified structure revisited[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2020:35.
APA	Xu, Yao,&Niu, Weisheng.(2020).Homogenization of elliptic systems with stratified structure revisited.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,35.
MLA	Xu, Yao,et al."Homogenization of elliptic systems with stratified structure revisited".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2020):35.