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Mathematics of the USSR-Sbornik, 1986, Volume 53, Issue 2, Pages 489–522
DOI: https://doi.org/10.1070/SM1986v053n02ABEH002934 (Mi sm2097) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On boundary and initial conditions in $\mathscr L_p$, $p>1$, of solutions of parabolic equations

I. M. Petrushko
English version PDF (1206 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/SM1986v053n02ABEH002934
Abstract: Necessary and sufficient conditions on the solutions of parabolic equations in a cylinder are established for the existence of limits in $\mathscr L_p$ on the lateral surface of the cylinder and in $\mathscr L_p$ with a weight on its lower base.
Bibliography: 9 titles.
Received: 25.11.1983
Bibliographic databases:
UDC: 517.95
MSC: Primary 35B99, 35K15, 35K20; Secondary 46E35
Language: English
Original paper language: Russian
Citation: 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
Citation in format AMSBIB
\Bibitem{Pet84}
\by I.~M.~Petrushko
\paper On boundary and initial conditions in $\mathscr L_p$, $p>1$, of solutions of parabolic equations
\jour Math. USSR-Sb.
\yr 1986
\vol 53
\issue 2
\pages 489--522
\mathnet{http://mi.mathnet.ru/eng/sm2097}
\crossref{https://doi.org/10.1070/SM1986v053n02ABEH002934}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=770903}
\zmath{https://zbmath.org/?q=an:0592.35060}
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  • https://doi.org/10.1070/SM1986v053n02ABEH002934
  • https://www.mathnet.ru/eng/sm/v167/i4/p489
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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