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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 1, Pages 27–40
DOI: https://doi.org/10.1070/IM1982v019n01ABEH001409 (Mi im1582) 		 
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
English version PDF (663 kB) Citations (7) Russian version article
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DOI: https://doi.org/10.1070/IM1982v019n01ABEH001409
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
Bibliographic databases:
UDC: 517.9
MSC: 47F05
Language: English
Original paper language: Russian
Citation: 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
Citation in format AMSBIB
\Bibitem{ZhiSir81}
\by V.~V.~Zhikov, M.~M.~Sirazhudinov
\paper On $G$-compactness of a~class of nondivergence elliptic operators of second order
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 1
\pages 27--40
\mathnet{http://mi.mathnet.ru//eng/im1582}
\crossref{https://doi.org/10.1070/IM1982v019n01ABEH001409}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=631435}
\zmath{https://zbmath.org/?q=an:0494.35033|0482.35039}
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  • https://doi.org/10.1070/IM1982v019n01ABEH001409
  • https://www.mathnet.ru/eng/im/v45/i4/p718
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:504
    Russian version PDF:136
    English version PDF:29
    References:87
    First page:1
     
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