Operator Estimates in Homogenization of Elliptic Systems of Equations
- Autores: Pastukhova S.1
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Afiliações:
- Moscow Technological University (MIREA)
- Edição: Volume 226, Nº 4 (2017)
- Páginas: 445-461
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240002
- DOI: https://doi.org/10.1007/s10958-017-3543-9
- ID: 240002
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Resumo
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.
Sobre autores
S. Pastukhova
Moscow Technological University (MIREA)
Autor responsável pela correspondência
Email: pas-se@yandex.ru
Rússia, 78, pr. Vernadskogo, Moscow, 119454