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Mathematics of the USSR-Sbornik, 1987, Volume 58, Issue 1, Pages 207–221
DOI: https://doi.org/10.1070/SM1987v058n01ABEH003100 (Mi sm1865) 		 
This article is cited in 21 scientific papers (total in 21 papers)

On estimates of the maximum of a solution of a parabolic equation and estimates of the distribution of a semimartingale

N. V. Krylov
English version PDF (835 kB) Citations (21) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1987v058n01ABEH003100
Abstract: Estimates are proved for the maximum of a solution of a linear parabolic equation in terms of the $\mathscr L_p$-norm of the right-hand side. The coefficients of the first derivatives are assumed to be integrable to a suitable power. Various boundary value problems are considered. Corresponding $\mathscr L_p$-estimates are proved also for the distributions of semimartingales.
Bibliography: 16 titles.
Received: 10.06.1985
Bibliographic databases:
UDC: 517.95
MSC: Primary 35K20, 60G48; Secondary 35B50, 60E99
Language: English
Original paper language: Russian
Citation: N. V. Krylov, “On estimates of the maximum of a solution of a parabolic equation and estimates of the distribution of a semimartingale”, Math. USSR-Sb., 58:1 (1987), 207–221
Citation in format AMSBIB
\Bibitem{Kry86}
\by N.~V.~Krylov
\paper On estimates of the maximum of a~solution of a~parabolic equation and estimates of the distribution of a~semimartingale
\jour Math. USSR-Sb.
\yr 1987
\vol 58
\issue 1
\pages 207--221
\mathnet{http://mi.mathnet.ru//eng/sm1865}
\crossref{https://doi.org/10.1070/SM1987v058n01ABEH003100}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=854972}
\zmath{https://zbmath.org/?q=an:0625.35041}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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