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Mathematics of the USSR-Sbornik, 1973, Volume 19, Issue 3, Pages 395–406
DOI: https://doi.org/10.1070/SM1973v019n03ABEH001785 (Mi sm3056) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On a coercive inequality for an elliptic operator in infinitely many independent variables

N. N. Frolov
English version PDF (608 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM1973v019n03ABEH001785
Abstract: In the present paper a coercive inequality is established for an infinite-dimensional elliptic differential operator of order $2m$, and a theorem on smoothness of a generalized solution of the Dirichlet problem for an equation containing such an operator is established.
Bibliography: 7 titles.
Received: 29.10.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1973, Volume 90(132), Number 3, Pages 403–414
Bibliographic databases:
UDC: 517.9
MSC: Primary 35B45, 47F05; Secondary 35J40, 35D05
Language: English
Original paper language: Russian
Citation: N. N. Frolov, “On a coercive inequality for an elliptic operator in infinitely many independent variables”, Mat. Sb. (N.S.), 90(132):3 (1973), 403–414; Math. USSR-Sb., 19:3 (1973), 395–406
Citation in format AMSBIB
\Bibitem{Fro73}
\by N.~N.~Frolov
\paper On~a~coercive inequality for an elliptic operator in infinitely many independent variables
\jour Mat. Sb. (N.S.)
\yr 1973
\vol 90(132)
\issue 3
\pages 403--414
\mathnet{http://mi.mathnet.ru/sm3056}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=610096}
\zmath{https://zbmath.org/?q=an:0258.35026}
\transl
\jour Math. USSR-Sb.
\yr 1973
\vol 19
\issue 3
\pages 395--406
\crossref{https://doi.org/10.1070/SM1973v019n03ABEH001785}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:293
    Russian version PDF:97
    English version PDF:12
    References:48
     
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