Green's matrices and boundary estimates in parabolic homogenization

被引：3

作者：

Geng, Jun ^{[1
]}

Shi, Bojing ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 04期

关键词：

ELLIPTIC-SYSTEMS; COMPACTNESS METHODS; CONVERGENCE-RATES;

D O I：

10.1016/j.jde.2020.02.021

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 in divergence form with rapidly oscillating periodic and time-dependent coefficients. We establish the pointwise estimates of the Green's matrices. We investigate uniform boundary Lipschitz estimates and boundary Holder estimates as well as non-tangential maximum function estimates in C-1,C-eta or C-1 cylinders. Consequently, we also obtain the Agmon-Miranda maximum principle. (c) 2020 Elsevier Inc. All rights reserved.

引用

页码：3031 / 3066

页数：36

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