Operator Estimates in Homogenization of Elliptic Systems of Equations
- Авторы: Pastukhova S.1
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Учреждения:
- Moscow Technological University (MIREA)
- Выпуск: Том 226, № 4 (2017)
- Страницы: 445-461
- Раздел: 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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Аннотация
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.
Об авторах
S. Pastukhova
Moscow Technological University (MIREA)
Автор, ответственный за переписку.
Email: pas-se@yandex.ru
Россия, 78, pr. Vernadskogo, Moscow, 119454