On $G$-compactness of a~class of nondivergence elliptic operators of second order
Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 27-40
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This paper introduces the concept of $G$-convergence for nondivergence elliptic operators of second order. It is proved that the class of operators subject to the natural ellipticity inequalities and to a certain “cone” condition (Cordes' condition) is compact in the $G$-topology.
Bibliography: 14 titles.
@article{IM2_1982_19_1_a2,
author = {V. V. Zhikov and M. M. Sirazhudinov},
title = {On $G$-compactness of a~class of nondivergence elliptic operators of second order},
journal = {Izvestiya. Mathematics },
pages = {27--40},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {1982},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1982_19_1_a2/}
}
TY - JOUR AU - V. V. Zhikov AU - M. M. Sirazhudinov TI - On $G$-compactness of a~class of nondivergence elliptic operators of second order JO - Izvestiya. Mathematics PY - 1982 SP - 27 EP - 40 VL - 19 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1982_19_1_a2/ LA - en ID - IM2_1982_19_1_a2 ER -
V. V. Zhikov; M. M. Sirazhudinov. On $G$-compactness of a~class of nondivergence elliptic operators of second order. Izvestiya. Mathematics , Tome 19 (1982) no. 1, pp. 27-40. http://geodesic.mathdoc.fr/item/IM2_1982_19_1_a2/