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Mathematics of the USSR-Sbornik, 1981, Volume 40, Issue 3, Pages 325–347
DOI: https://doi.org/10.1070/SM1981v040n03ABEH001822
(Mi sm2730)
 

This article is cited in 8 scientific papers (total in 8 papers)

General boundary value problems for a class of singular and degenerate elliptic equations

V. V. Katrakhov
References:
Abstract: This paper investigates general boundary value problems for a class of singular and degenerate elliptic equations satisfying Lopatinskii-type conditions on the part of the boundary where the singularity is concentrated. In the elliptic equations considered, the singular Bessel operator $\displaystyle B=\frac{\partial^2}{\partial y^2}+\frac{2\nu+1}y\frac\partial{\partial y}$ operates on one of the variables. For the above-mentioned problems coercive (a priori) bounds are given, right and left regularizers are given, and, with these, Fredholm solvability is proved.
Bibliography: 15 titles.
Received: 22.02.1980
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 112(154), Number 3(7), Pages 354–379
Bibliographic databases:
UDC: 517.946
MSC: Primary 35J70; Secondary 35B45
Language: English
Original paper language: Russian
Citation: V. V. Katrakhov, “General boundary value problems for a class of singular and degenerate elliptic equations”, Mat. Sb. (N.S.), 112(154):3(7) (1980), 354–379; Math. USSR-Sb., 40:3 (1981), 325–347
Citation in format AMSBIB
\Bibitem{Kat80}
\by V.~V.~Katrakhov
\paper General boundary value problems for a~class of singular and degenerate elliptic equations
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 112(154)
\issue 3(7)
\pages 354--379
\mathnet{http://mi.mathnet.ru/sm2730}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=582189}
\zmath{https://zbmath.org/?q=an:0469.35055|0446.35048}
\transl
\jour Math. USSR-Sb.
\yr 1981
\vol 40
\issue 3
\pages 325--347
\crossref{https://doi.org/10.1070/SM1981v040n03ABEH001822}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MT96400003}
Linking options:
  • https://www.mathnet.ru/eng/sm2730
  • https://doi.org/10.1070/SM1981v040n03ABEH001822
  • https://www.mathnet.ru/eng/sm/v154/i3/p354
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:426
    Russian version PDF:154
    English version PDF:16
    References:57
     
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