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Daghestan Electronic Mathematical Reports, 2014, Issue 2, Pages 87–100
DOI: https://doi.org/10.31029/demr.2.7 (Mi demr13) 		 
$G$-convergence and homogenization of one class of second order elliptic equations with complex coefficients

M. M. Sirazhudinova, S. P. Dzhamaludinovab

a Daghestan Scientific Centre of Russian Academy of Sciences
b Daghestan State University
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DOI: https://doi.org/10.31029/demr.2.7
Abstract: The problems of $G$-compaction and averaging of a class of second-order elliptic operators with complex-valued coefficients are studied. It is proved $G$-compaction of this class. Averaging for operators with periodic coefficients was obtained.
Keywords: $G$-convergence, boundary value problem, prior estimates.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00508_а
14-01-31389-мол_а
This work was supported by the Russian Foundation for Basic Research (grants № 16-01-00508_а and № 14-01-31389-мол_а)
Received: 24.11.2014
Revised: 16.12.2014
Accepted: 17.12.2014
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: M. M. Sirazhudinov, S. P. Dzhamaludinova, “$G$-convergence and homogenization of one class of second order elliptic equations with complex coefficients”, Daghestan Electronic Mathematical Reports, 2014, no. 2, 87–100
Citation in format AMSBIB
\Bibitem{SirDzh14}
\by M.~M.~Sirazhudinov, S.~P.~Dzhamaludinova
\paper $G$-convergence and homogenization of one class of second order elliptic equations with complex coefficients
\jour Daghestan Electronic Mathematical Reports
\yr 2014
\issue 2
\pages 87--100
\mathnet{http://mi.mathnet.ru/demr13}
\crossref{https://doi.org/10.31029/demr.2.7}
\elib{https://elibrary.ru/item.asp?id=27311204}
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