Error Estimates of Homogenization in the Neumann Boundary Problem for an Elliptic Equation with Multiscale Coefficients

被引：0

作者：

Pastukhova S.E. ^{[1
]}

Tikhomirov R.N. ^{[2
]}

机构：

[1] Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University), 78, pr. Vernadskogo, Moscow

[2] A. G. and N. G. Stoletov Vladimir State University, 87, ul. Gor’kogo, Vladimir

来源：

Journal of Mathematical Sciences | 2016年 / 216卷 / 2期

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D O I：

10.1007/s10958-016-2903-1

中图分类号：

学科分类号：

摘要：

We study the Neumann problem in a bounded domain Ω for a scalar elliptic equation with coefficients oscillating with respect to two groups of variables with periods of different smallness order. We prove the H1- and L2-estimates of homogenization. The estimates have the operator form and can be expressed in terms of the resolvent of the original problem and its approximations in the operator (L2(Ω)→H1(Ω))- and (L2(Ω)→L2(Ω))- norms. © 2016, Springer Science+Business Media New York.

引用

页码：325 / 344

页数：19

共 16 条

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