On LP estimates in homogenization of elliptic equations of Maxwell's type

被引：9

作者：

Shen, Zhongwei ^{[1
]}

Song, Liang ^{[2
]}

机构：

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

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2014年 / 252卷

基金：

美国国家科学基金会;

关键词：

Homogenization; Maxwell's equations; L-P estimates; LIPSCHITZ-DOMAINS;

D O I：

10.1016/j.aim.2013.10.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a family of second-order elliptic systems of Maxwell's type with rapidly oscillating periodic coefficients in a C-1,C-alpha domain Omega, we establish uniform estimates of solutions u(epsilon) and del x u(epsilon) in L-P (Omega) for 1 < p <= infinity. The proof relies on the uniform W-1,W-P and Lipschitz estimates for solutions of scalar elliptic equations with periodic coefficients. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：7 / 21

页数：15

共 11 条

[1]

[Anonymous], 1983, ELLIPTIC PARTIAL DIF

[2]

[Anonymous], 2011, ASYMPTOTIC ANAL PERI, DOI DOI 10.1090/CHEL/374

[3] LP BOUNDS ON SINGULAR-INTEGRALS IN HOMOGENIZATION [J].