$G$-convergence and homogenization of one class of second order elliptic equations with complex coefficients
Daghestan Electronic Mathematical Reports, Tome 2 (2014), pp. 87-100

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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.
@article{DEMR_2014_2_a6,
     author = {M. M. Sirazhudinov and S. P. Dzhamaludinova},
     title = {$G$-convergence and homogenization of one class of second order elliptic equations with complex coefficients},
     journal = {Daghestan Electronic Mathematical Reports},
     pages = {87--100},
     publisher = {mathdoc},
     volume = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DEMR_2014_2_a6/}
}
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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, Tome 2 (2014), pp. 87-100. http://geodesic.mathdoc.fr/item/DEMR_2014_2_a6/