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Mathematics of the USSR-Sbornik, 1988, Volume 59, Issue 2, Pages 471–495
DOI: https://doi.org/10.1070/SM1988v059n02ABEH003147
(Mi sm1974)
 

This article is cited in 26 scientific papers (total in 26 papers)

The first boundary value problem for nondivergence second order parabolic equations with discontinuous coefficients

Yu. A. Alkhutov, I. T. Mamedov
References:
Abstract: This paper is concerned with the questions of solvability and smoothness of weak solutions of the first boundary value problem for a parabolic equation of the form
$$ \mathscr Lu=\sum^n_{i,k=1}a_{ik}(t,x)u_{x_ix_k}-u_t=f(t,x). $$

Bibliography: 18 titles.
Received: 04.07.1985 and 27.05.1986
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1986, Volume 131(173), Number 4(12), Pages 477–500
Bibliographic databases:
UDC: 517.956.4
MSC: Primary 35K20; Secondary 35B65, 35R05
Language: English
Original paper language: Russian
Citation: Yu. A. Alkhutov, I. T. Mamedov, “The first boundary value problem for nondivergence second order parabolic equations with discontinuous coefficients”, Mat. Sb. (N.S.), 131(173):4(12) (1986), 477–500; Math. USSR-Sb., 59:2 (1988), 471–495
Citation in format AMSBIB
\Bibitem{AlkMam86}
\by Yu.~A.~Alkhutov, I.~T.~Mamedov
\paper The first boundary value problem for nondivergence second order parabolic equations with discontinuous coefficients
\jour Mat. Sb. (N.S.)
\yr 1986
\vol 131(173)
\issue 4(12)
\pages 477--500
\mathnet{http://mi.mathnet.ru/sm1974}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=881909}
\zmath{https://zbmath.org/?q=an:0663.35033}
\transl
\jour Math. USSR-Sb.
\yr 1988
\vol 59
\issue 2
\pages 471--495
\crossref{https://doi.org/10.1070/SM1988v059n02ABEH003147}
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  • https://doi.org/10.1070/SM1988v059n02ABEH003147
  • https://www.mathnet.ru/eng/sm/v173/i4/p477
  • This publication is cited in the following 26 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
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    Abstract page:640
    Russian version PDF:160
    English version PDF:24
    References:62
     
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