Keywords: 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},
year = {2014},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DEMR_2014_2_a6/}
}
TY - JOUR AU - M. M. Sirazhudinov AU - S. P. Dzhamaludinova TI - $G$-convergence and homogenization of one class of second order elliptic equations with complex coefficients JO - Daghestan Electronic Mathematical Reports PY - 2014 SP - 87 EP - 100 IS - 2 UR - http://geodesic.mathdoc.fr/item/DEMR_2014_2_a6/ LA - ru ID - DEMR_2014_2_a6 ER -
%0 Journal Article %A M. M. Sirazhudinov %A S. P. Dzhamaludinova %T $G$-convergence and homogenization of one class of second order elliptic equations with complex coefficients %J Daghestan Electronic Mathematical Reports %D 2014 %P 87-100 %N 2 %U http://geodesic.mathdoc.fr/item/DEMR_2014_2_a6/ %G ru %F DEMR_2014_2_a6
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, no. 2 (2014), pp. 87-100. http://geodesic.mathdoc.fr/item/DEMR_2014_2_a6/
[1] V. V. Jikov, S. M. Kozlov, O. A. Olejnik, Homogenization of differential operators and integral functionals, Springer–Verlag, Berlin, 1994 | MR
[2] V. V. Zhikov, M. M. Sirazhudinov, “On $G$-compactness of a class of nondivergence elliptic operators of second order”, Math. USSR–Izv., 19:1 (1982), 27–40 | MR | Zbl
[3] V. V. Zhikov, M. M. Sirazhudinov, “The averaging of nondivergence second order elliptic and parabolic operators and the stabilization of solutions of the Cauchy problem”, Math. USSR–Sb., 44:2 (1983), 149–166 | MR | Zbl
[4] M. M. Sirazhudinov, “The $G$-convergence and averaging of some high-order nondivergence elliptic operators”, Differential Equations, 19:11 (1983), 1429–1435 | MR | Zbl
[5] M. M. Sirazhudinov, “$G$-compactness of a class of first-order elliptic systems”, Differential Equations, 26:2 (1990), 229–235 | MR
[6] Sirazhudinov M.M., “O $G$-skhodimosti i usrednenii obobschennykh operatorov Beltrami”, Mat. sb., 199:5 (2008), 127–158 | DOI | MR | Zbl
[7] Dzhamaludinova S.P., “Zadacha Puankare dlya odnogo ellipticheskogo uravneniya vtorogo poryadka”, Vestnik DGU, 2013, no. 1, 65–67
[8] Sirazhudinov M.M., Dzhamaludinova S.P., “O G–kompaktnosti odnogo klassa ellipticheskikh operatorov vtorogo poryadka s kompleksnoznachnymi koeffitsientami”, Vestnik DGU, 2014, no. 1, 77–80
[9] Vekua I.N., Obobschennye analiticheskie funktsii, Nauka, M., 1988 | MR