Operator Estimates in Homogenization of Elliptic Systems of Equations
- 作者: Pastukhova S.1
-
隶属关系:
- Moscow Technological University (MIREA)
- 期: 卷 226, 编号 4 (2017)
- 页面: 445-461
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240002
- DOI: https://doi.org/10.1007/s10958-017-3543-9
- ID: 240002
如何引用文章
详细
We study homogenization of nonselfadjoint second order elliptic systems with ε-periodic rapidly oscillating coefficients as ε → 0. We obtain the L2- and H1-estimates for the homogenization error of order ε. The estimates admit the operator form and can be written in terms of the resolvents of the original and approximate systems in the operator norm \( {\left\Vert \cdot \right\Vert}_{L^2\to {L}^2} \) or \( {\left\Vert \cdot \right\Vert}_{L^2\to {H}^1} \). The shift method is used for obtaining such estimates.
作者简介
S. Pastukhova
Moscow Technological University (MIREA)
编辑信件的主要联系方式.
Email: pas-se@yandex.ru
俄罗斯联邦, 78, pr. Vernadskogo, Moscow, 119454