Estimates of Homogenization for the Beltrami Equation
- Autores: Pastukhova S.1
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Afiliações:
- Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University)
- Edição: Volume 219, Nº 2 (2016)
- Páginas: 226-235
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238527
- DOI: https://doi.org/10.1007/s10958-016-3100-y
- ID: 238527
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Resumo
We study the homogenization of the Riemann–Hilbert boundary value problem for the Beltrami equation with an oscillating ε-periodic coefficient, where ε > 0 is a small parameter. The homogenized problem has a similar form, but with a constant coefficient. We prove error estimates of homogenization in the L2- and W21 -norms of order \( O\left(\sqrt{\varepsilon}\right) \). Bibliography: 9 titles.
Sobre autores
S. Pastukhova
Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University)
Autor responsável pela correspondência
Email: pas-se@yandex.ru
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