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Estimates of Homogenization for the Beltrami Equation

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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 L 2- and W 12 -norms of order \( O\left(\sqrt{\varepsilon}\right) \). Bibliography: 9 titles.

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References

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  1. Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University), 78, pr. Vernadskogo, Moscow, 119454, Russia

    S. E. Pastukhova

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  1. S. E. Pastukhova
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Correspondence to S. E. Pastukhova.

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Translated from Problemy Matematicheskogo Analiza 86, July 2016, pp. 51-58.

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Pastukhova, S.E. Estimates of Homogenization for the Beltrami Equation. J Math Sci 219, 226–235 (2016). https://doi.org/10.1007/s10958-016-3100-y

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