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This article is cited in 7 scientific papers (total in 7 papers)
On $G$-compactness of a class of nondivergence elliptic operators of second order
V. V. Zhikov, M. M. Sirazhudinov
Abstract:
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.
Received: 20.10.1980
Citation:
V. V. Zhikov, M. M. Sirazhudinov, “On $G$-compactness of a class of nondivergence elliptic operators of second order”, Izv. Akad. Nauk SSSR Ser. Mat., 45:4 (1981), 718–733; Math. USSR-Izv., 19:1 (1982), 27–40
Linking options:
https://www.mathnet.ru/eng/im1582https://doi.org/10.1070/IM1982v019n01ABEH001409 https://www.mathnet.ru/eng/im/v45/i4/p718
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Abstract page: | 493 | Russian version PDF: | 135 | English version PDF: | 28 | References: | 86 | First page: | 1 |
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