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$G$-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
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.
Received: 24.11.2014 Revised: 16.12.2014 Accepted: 17.12.2014
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
Linking options:
https://www.mathnet.ru/eng/demr13 https://www.mathnet.ru/eng/demr/y2014/i2/p87
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Abstract page: | 124 | Full-text PDF : | 29 | References: | 26 |
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