Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L∞（Ω）

被引：0

作者：

HE WenMing1

2School of Aeronautics and Astronautics

3LSEC

机构：

来源：

Science China Mathematics | 2010年 / 53卷 / 05期

基金：

中国国家自然科学基金;

关键词：

multi-scale homogenization theory; homogenization solution; second order elliptic equations with small periodic coeficients;

D O I：

暂无

中图分类号：

O175.25 [椭圆型方程];

学科分类号：

070104 ;

摘要：

In this paper,we discuss the multi-scale homogenization theory for the second order elliptic problems with small periodic coefficients of the form xi(aij(xε) uεx(jx)) = f(x).Assuming n = 2 and u0 ∈ W 1,∞(Ω),we present an error estimate between the homogenization solution u0(x) and the exact solution uε(x) on the Sobolev space L∞(Ω).

引用

页码：194 / 215

页数：22

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