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Matematicheskie Zametki, 2020, Volume 108, Issue 2, Pages 260–284
DOI: https://doi.org/10.4213/mzm12614 (Mi mzm12614) 		 
Homogenization Estimates of Nondivergence Elliptic Operators of Second Order

M. M. Sirazhudinovab

a Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
b Daghestan State University, Makhachkala
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DOI: https://doi.org/10.4213/mzm12614
Abstract: Questions related to the homogenization of the Dirichlet problem for nondivergence elliptic equations of second order with rapidly oscillating $\varepsilon$-periodic coefficients are studied. Error estimates of homogenization in the Sobolev spaces of order $\sqrt\varepsilon$ are obtained. Asymptotic homogenization methods are applied.
Keywords: elliptic operators, homogenization.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00508-a
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00508-a.
Received: 07.05.2018
Revised: 18.11.2019
English version:
Mathematical Notes, 2020, Volume 108, Issue 2, Pages 250–271
DOI: https://doi.org/10.1134/S0001434620070263
Bibliographic databases:
Document Type: Article
UDC: 517.956.2
Language: Russian
Citation: M. M. Sirazhudinov, “Homogenization Estimates of Nondivergence Elliptic Operators of Second Order”, Mat. Zametki, 108:2 (2020), 260–284; Math. Notes, 108:2 (2020), 250–271
Citation in format AMSBIB
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