Convergence rates in parabolic homogenization with time-dependent periodic coefficients

被引：31

作者：

Geng, Jun ^{[1
]}

Shen, Zhongwei ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou, Peoples R China

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

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 272卷 / 05期

基金：

美国国家科学基金会;

关键词：

Homogenization; Parabolic systems; Convergence rates; ELLIPTIC-SYSTEMS; ERROR ESTIMATE;

D O I：

10.1016/j.jfa.2016.10.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a family of second-order parabolic systems with bounded measurable, rapidly oscillating and time-dependent periodic coefficients, we investigate the sharp convergence rates of weak solutions in L-2. Both initial-Dirichlet and initial-Neumann problems are studied. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：2092 / 2113

页数：22

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