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Mathematics of the USSR-Sbornik, 1979, Volume 35, Issue 3, Pages 351–362
DOI: https://doi.org/10.1070/SM1979v035n03ABEH001487
(Mi sm2620)
 

This article is cited in 5 scientific papers (total in 5 papers)

On passing to the limit in degenerate Bellman equations. II

N. V. Krylov
References:
Abstract: In part I normalized parabolic Bellman equations of the form $Fu=0$ were studied; in this part ordinary Bellman equations, i.e. equations solved for the derivative with respect to $t$, are considered. While it was assumed in part I that the $u_n$ and $u$ have bounded weak derivatives with respect to $t$, it is merely assumed here that they are of bounded variation with respect to $t$. As before, the second derivatives with respect to $x$ of the convex (in $x$) functions $u_n$ and $u$ are understood in the generalized sense (as measures), while the equations $Fu_n=0$ and $Fu=0$ are considered in a lattice of measures.
Bibliography: 4 titles.
Received: 27.04.1977
Bibliographic databases:
UDC: 519.2+517.9
MSC: Primary 60J60; Secondary 93E20
Language: English
Original paper language: Russian
Citation: N. V. Krylov, “On passing to the limit in degenerate Bellman equations. II”, Math. USSR-Sb., 35:3 (1979), 351–362
Citation in format AMSBIB
\Bibitem{Kry78}
\by N.~V.~Krylov
\paper On passing to the limit in degenerate Bellman equations.~II
\jour Math. USSR-Sb.
\yr 1979
\vol 35
\issue 3
\pages 351--362
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\zmath{https://zbmath.org/?q=an:0439.60079|0425.35084}
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  • https://www.mathnet.ru/eng/sm/v149/i1/p56
    Cycle of papers
    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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