Homogenization of the boundary value for the Neumann problem

被引：5
|
作者：
Zhao, Jie [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 02期
关键词：
D O I：
10.1063/1.4909526
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study the convergence rates for homogenization problems for solutions of partial differential equations with rapidly oscillating Neumann boundary data. Such a problem raised due to its importance for higher order approximation in homogenization theory. High order approximation gives rise to the so-called boundary layer phenomenon. As a consequence, we obtain the pointwise and W-1,W-p convergence results. Our techniques are based on Fourier analysis. (C) 2015 AIP Publishing LLC.
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页数：9
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