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Mat. Sb. (N.S.), 1978, Volume 106(148), Number 3(7), Pages 409–439 (Mi msb2584)  

This article is cited in 3 scientific papers (total in 3 papers)

On the boundary and initial values of solutions of parabolic equations

I. M. Petrushko


Abstract: In the present paper the question of the boundary and initial values of solutions of second order parabolic equations is investigated.
Bibliography: 2 titles.

Full text: PDF file (2131 kB)
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English version:
Mathematics of the USSR-Sbornik, 1979, 35:1, 85–114

Bibliographic databases:

UDC: 517.946
MSC: 35K10
Received: 06.10.1977

Citation: I. M. Petrushko, “On the boundary and initial values of solutions of parabolic equations”, Mat. Sb. (N.S.), 106(148):3(7) (1978), 409–439; Math. USSR-Sb., 35:1 (1979), 85–114

Citation in format AMSBIB
\Bibitem{Pet78}
\by I.~M.~Petrushko
\paper On the boundary and initial values of solutions of parabolic equations
\jour Mat. Sb. (N.S.)
\yr 1978
\vol 106(148)
\issue 3(7)
\pages 409--439
\mathnet{http://mi.mathnet.ru/msb2584}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=505110}
\zmath{https://zbmath.org/?q=an:0421.35034|0386.35021}
\transl
\jour Math. USSR-Sb.
\yr 1979
\vol 35
\issue 1
\pages 85--114
\crossref{https://doi.org/10.1070/SM1979v035n01ABEH001454}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JB17500007}


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  • http://mi.mathnet.ru/eng/msb/v148/i3/p409

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Petrushko I., “On Boundary-Order and Initial Values of 2nd-Order Parabolic Equation Solutions in Lp,P Greater-Than 1”, 267, no. 5, 1982, 1063–1066  mathscinet  zmath  isi
    2. I. M. Petrushko, “On boundary and initial conditions in $\mathscr L_p$, $p>1$, of solutions of parabolic equations”, Math. USSR-Sb., 53:2 (1986), 489–522  mathnet  crossref  mathscinet  zmath
    3. L. A. Muravei, A. V. Filinovskii, “On a problem with nonlocal boundary condition for a parabolic equation”, Math. USSR-Sb., 74:1 (1993), 219–249  mathnet  crossref  mathscinet  zmath  adsnasa  isi
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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