Email this article Estimates of Homogenization for the Beltrami Equation
- Authors: Pastukhova S.E.1
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Affiliations:
- Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University)
- Issue: Vol 219, No 2 (2016)
- Pages: 226-235
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238527
- DOI: https://doi.org/10.1007/s10958-016-3100-y
- ID: 238527
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Abstract
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.
About the authors
S. E. Pastukhova
Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University)
Author for correspondence.
Email: pas-se@yandex.ru
Russian Federation, 78, pr. Vernadskogo, Moscow, 119454
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