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Mathematics of the USSR-Sbornik, 1986, Volume 54, Issue 1, Pages 207–237
DOI: https://doi.org/10.1070/SM1986v054n01ABEH002968 (Mi sm1935) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Some boundary value problems for elliptic equations, and the Lie algebras associated with them

B. P. Paneah
English version PDF (1659 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM1986v054n01ABEH002968
Abstract: The results presented in this paper are connected with the solvability of boundary value problems for second-order elliptic differential equations in a bounded region with smooth boundary. A typical feature of these problems is that the Lopatinskii conditions for them can fail to hold on very massive subsets of the boundary. The solvability properties of the problems under study turn out to be closely connected with the behavior of certain vector fields on the boundary of the region, with not only the leading homogeneous part of the boundary operator but also its first-order terms involved in the formation of the fields.
Bibliography: 18 titles.
Received: 10.04.1984
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 126(168), Number 2, Pages 215–246
Bibliographic databases:
UDC: 517.95
MSC: Primary 35A05, 35J25; Secondary 35B45, 35B65
Language: English
Original paper language: Russian
Citation: B. P. Paneah, “Some boundary value problems for elliptic equations, and the Lie algebras associated with them”, Mat. Sb. (N.S.), 126(168):2 (1985), 215–246; Math. USSR-Sb., 54:1 (1986), 207–237
Citation in format AMSBIB
\Bibitem{Pan85}
\by B.~P.~Paneah
\paper Some boundary value problems for elliptic equations, and the Lie algebras associated with them
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 126(168)
\issue 2
\pages 215--246
\mathnet{http://mi.mathnet.ru/sm1935}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=784355}
\zmath{https://zbmath.org/?q=an:0656.35035|0589.35035}
\transl
\jour Math. USSR-Sb.
\yr 1986
\vol 54
\issue 1
\pages 207--237
\crossref{https://doi.org/10.1070/SM1986v054n01ABEH002968}
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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:282
    Russian version PDF:97
    English version PDF:13
    References:51
     
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