CONVERGENCE RATES IN HOMOGENIZATION OF HIGHER-ORDER PARABOLIC SYSTEMS

被引：8
|
作者：
Niu, Weisheng [1 ]
Xu, Yao [2 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China
[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 08期
关键词：
Homogenization; higher-order parabolic systems; convergence rates; correctors; periodic coefficients; PERIODIC COEFFICIENTS; ELLIPTIC-SYSTEMS;
D O I：
10.3934/dcds.2018183
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the optimal convergence rate in homogenization of higher order parabolic systems with bounded measurable, rapidly oscillating periodic coefficients. The sharp O(epsilon) convergence rate in the space L-2(0, T; Hm-1(Omega)) is obtained for both the initial-Dirichlet problem and the initial-Neumann problem. The duality argument inspired by [25] is used here.
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页码：4203 / 4229
页数：27
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