Quantitative estimates in reiterated homogenization
文献类型：期刊论文
| 作者 | Niu, Weisheng1; Shen, Zhongwei3; Xu, Yao2 |
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2020-12-15 |
| 卷号 | 279期号:11页码:39 |
| ISSN号 | 0022-1236 |
| 关键词 | Reiterated homogenization Convergence rates Large-scale regularity estimates |
| DOI | 10.1016/j.jfa.2020.108759 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000575209400005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52284]  |
| 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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Univ Kentucky, Dept Math, Lexington, KY 40506 USA |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。