Convergence rates in almost-periodic homogenization of higher-order elliptic systems
文献类型：期刊论文
| 作者 | Xu, Yao2; Niu, Weisheng1 |
| 刊名 | ASYMPTOTIC ANALYSIS
 |
| 出版日期 | 2021 |
| 卷号 | 123期号:1-2页码:95-137 |
| 关键词 | Almost periodic homogenization higher-order elliptic systems quantitative estimates |
| ISSN号 | 0921-7134 |
| DOI | 10.3233/ASY-201627 |
| 英文摘要 | 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. |
| 资助项目 | China Postdoctoral Science Foundation[2019TQ0339] ; NSF of China[11971031] ; NSF of China[11701002] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000649085200004 |
| 出版者 | IOS PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58659]  |
| 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.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 |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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