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Sbornik: Mathematics, 2017, Volume 208, Issue 4, Pages 546–567
DOI: https://doi.org/10.1070/SM8742 (Mi sm8742) 		 
This article is cited in 5 scientific papers (total in 5 papers)

An asymptotic method for homogenization for generalized Beltrami operators

M. M. Sirazhudinovab

a Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
b Daghestan State University, Makhachkala
English version PDF (592 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM8742
Abstract: Questions on the homogenization of the Riemann-Hilbert problem for the generalized Beltrami equation with rapidly oscillating periodic coefficients (with small period $\varepsilon$) are considered. Estimates of order $\sqrt\varepsilon$ are obtained for the homogenization error in Lebesgue and Sobolev spaces. Asymptotic methods of homogenization are used.
Bibliography: 16 titles.
Keywords: Beltrami's equation, homogenization, asymptotic methods.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00508-а
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 16-01-00508_a).
Received: 23.05.2016 and 14.09.2016
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 4, Pages 87–110
DOI: https://doi.org/10.4213/sm8742
Bibliographic databases:
UDC: 517.946
MSC: 30G20, 35B27
Language: English
Original paper language: Russian
Citation: M. M. Sirazhudinov, “An asymptotic method for homogenization for generalized Beltrami operators”, Mat. Sb., 208:4 (2017), 87–110; Sb. Math., 208:4 (2017), 546–567
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:69
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