Quantitative Analysis of Boundary Layers in Periodic Homogenization

被引：21

作者：

Armstrong, Scott ^{[1
]}

Kuusi, Tuomo ^{[2
]}

Mourrat, Jean-Christophe ^{[3
]}

Prange, Christophe ^{[4
]}

机构：

[1] PSL Res Univ, Univ Paris Dauphine, CEREMADE, CNRS,UMR 7534, F-75016 Paris, France

[2] Aalto Univ, Dept Math & Syst Anal, Espoo, Finland

[3] Ecole Normale Super Lyon, CNRS, UMPA, UMR 5669, Lyon, France

[4] Univ Bordeaux, CNRS, UMR 5251, IMB, Bordeaux, France

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2017年 / 226卷 / 02期

基金：

芬兰科学院;

关键词：

FOURIER-ANALYSIS; CORRECTORS; DOMAINS; GREEN;

D O I：

10.1007/s00205-017-1142-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove quantitative estimates on the rate of convergence for the oscillating Dirichlet problem in periodic homogenization of divergence-form uniformly elliptic systems. The estimates are optimal in dimensions larger than three and new in every dimension. We also prove a regularity estimate on the homogenized boundary condition.

引用

页码：695 / 741

页数：47

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