Homogenization and boundary layers in domains of finite type

被引：5

作者：

Zhuge, Jinping ^{[1
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 43卷 / 04期

基金：

美国国家科学基金会;

关键词：

Convergence rates; finite type; homogenization; oscillating Dirichlet problem; FOURIER-ANALYSIS; PERIODIC HOMOGENIZATION;

D O I：

10.1080/03605302.2018.1446160

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the homogenization of Dirichlet problem of elliptic systems in a bounded, smooth domain of finite type. Both the coecients of the elliptic operator and the Dirichlet boundary data are assumed to be periodic and rapidly oscillating. We prove the theorem of homogenization and obtain an algebraic rate of convergence that depends explicitly on dimension and the type of the domain.

引用

页码：549 / 584

页数：36

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