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Mathematics of the USSR-Sbornik, 1974, Volume 24, Issue 1, Pages 103–126
DOI: https://doi.org/10.1070/SM1974v024n01ABEH001907 (Mi sm3746) 		 
This article is cited in 8 scientific papers (total in 9 papers)

Selfadjointness conditions for strongly elliptic systems of arbitrary order

A. G. Brusentsev, F. S. Rofe-Beketov
English version PDF (1181 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM1974v024n01ABEH001907
Abstract: Sufficient conditions are obtained for the essential selfadjointness in $\mathscr L_2(\mathbf R^n)$ of strongly elliptic systems of arbitrary even order (both semibounded and nonsemibounded) without assumptions concerning the boundedness of the leading coefficients or concerning uniform ellipticity. The conditions are formulated by means of operator inequalities and explicit restrictions on the coefficients.
Bibliography: 26 titles.
Received: 24.01.1974
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 95(137), Number 1(9), Pages 108–129
Bibliographic databases:
UDC: 517.88
MSC: 35J45, 47B25, 47F05
Language: English
Original paper language: Russian
Citation: A. G. Brusentsev, F. S. Rofe-Beketov, “Selfadjointness conditions for strongly elliptic systems of arbitrary order”, Mat. Sb. (N.S.), 95(137):1(9) (1974), 108–129; Math. USSR-Sb., 24:1 (1974), 103–126
Citation in format AMSBIB
\Bibitem{BruRof74}
\by A.~G.~Brusentsev, F.~S.~Rofe-Beketov
\paper Selfadjointness conditions for strongly elliptic systems of arbitrary order
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 95(137)
\issue 1(9)
\pages 108--129
\mathnet{http://mi.mathnet.ru/sm3746}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=358075}
\zmath{https://zbmath.org/?q=an:0308.35041}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 24
\issue 1
\pages 103--126
\crossref{https://doi.org/10.1070/SM1974v024n01ABEH001907}
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    • This publication is cited in the following 9 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:462
    Russian version PDF:131
    English version PDF:17
    References:46
     
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