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Mathematics of the USSR-Sbornik, 1970, Volume 11, Issue 4, Pages 507–528
DOI: https://doi.org/10.1070/SM1970v011n04ABEH001303 (Mi sm3467) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the smoothness of the solutions of boundary value problems for parabolic and degenerate elliptic equations

V. I. Feigin
English version PDF (815 kB) Citations (2)
References:
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DOI: https://doi.org/10.1070/SM1970v011n04ABEH001303
Abstract: We investigate the question of smoothness for solutions of the first and second boundary problems for a class of degenerate equations (including, in particular, a parabolic equation) in domains with boundaries containing characteristic points.
In the case of tangency of higher degree of the boundary with a characteristic plane conditions are given which guarantee that the solution belongs to the space $H_p$.
Bibliography: 9 titles.
Received: 10.06.1969 and 27.01.1970
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 82(124), Number 4(8), Pages 551–573
Bibliographic databases:
UDC: 517.946.9
MSC: 35B65, 35K20, 35J25, 35J70, 35B45, 35D05
Language: English
Original paper language: Russian
Citation: V. I. Feigin, “On the smoothness of the solutions of boundary value problems for parabolic and degenerate elliptic equations”, Mat. Sb. (N.S.), 82(124):4(8) (1970), 551–573; Math. USSR-Sb., 11:4 (1970), 507–528
Citation in format AMSBIB
\Bibitem{Fei70}
\by V.~I.~Feigin
\paper On~the smoothness of the solutions of boundary value problems for parabolic and degenerate elliptic equations
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 82(124)
\issue 4(8)
\pages 551--573
\mathnet{http://mi.mathnet.ru/sm3467}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=274941}
\zmath{https://zbmath.org/?q=an:0233.35042}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 11
\issue 4
\pages 507--528
\crossref{https://doi.org/10.1070/SM1970v011n04ABEH001303}
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    • This publication is cited in the following 2 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:238
    Russian version PDF:95
    English version PDF:7
    References:43
     
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