$G$-convergence and homogenization of one class of second order elliptic equations with complex coefficients

M. M. Sirazhudinov^a, S. P. Dzhamaludinova<sup>b

a</sup> 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.

UDC: 517.946

Received: 24.11.2014
Revised: 16.12.2014
Accepted: 17.12.2014

DOI: 10.31029/demr.2.7

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