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Mathematics of the USSR-Sbornik, 1989, Volume 63, Issue 2, Pages 289–303
DOI: https://doi.org/10.1070/SM1989v063n02ABEH003274
(Mi sm1702)
 

This article is cited in 9 scientific papers (total in 9 papers)

On unconditional solvability of the Bellman equation with constant coefficients in convex domains

N. V. Krylov
References:
Abstract: It is proved that Bellman equations are solvable in smooth strictly convex domains.
Bibliography: 6 titles.
Received: 22.09.1986
Bibliographic databases:
UDC: 517.95
MSC: Primary 35A05, 35E20; Secondary 49A22, 35B45, 35J25, 35K20
Language: English
Original paper language: Russian
Citation: N. V. Krylov, “On unconditional solvability of the Bellman equation with constant coefficients in convex domains”, Math. USSR-Sb., 63:2 (1989), 289–303
Citation in format AMSBIB
\Bibitem{Kry88}
\by N.~V.~Krylov
\paper On unconditional solvability of the Bellman equation with constant coefficients in convex domains
\jour Math. USSR-Sb.
\yr 1989
\vol 63
\issue 2
\pages 289--303
\mathnet{http://mi.mathnet.ru/eng/sm1702}
\crossref{https://doi.org/10.1070/SM1989v063n02ABEH003274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=937642}
\zmath{https://zbmath.org/?q=an:0667.49019|0647.49022}
Linking options:
  • https://www.mathnet.ru/eng/sm1702
  • https://doi.org/10.1070/SM1989v063n02ABEH003274
  • https://www.mathnet.ru/eng/sm/v177/i3/p297
  • This publication is cited in the following 9 articles:
    1. Qiqi Zhang, “Regularity of the Dirichlet Problem for the Non-degenerate Complex Quotient Equations”, International Mathematics Research Notices, 2021:23 (2021), 17673  crossref
    2. Li Chen, Qiang Tu, Di Wu, Ni Xiang, “C1,1 regularity for solutions to the degenerate Lp Dual Minkowski problem”, Calc. Var., 60:3 (2021)  crossref
    3. Elina Andriyanova, “On the Dirichlet problem for degenerate Monge–Ampère type equations”, Calc. Var., 58:5 (2019)  crossref
    4. Krylov N.V., “Interior Estimates for Second-Order Differences of Solutions of Finite-Difference Elliptic Bellman's Equations”, Math. Comput., 82:283 (2013), 1463–1487  crossref  mathscinet  zmath  isi
    5. J. Math. Sci. (N. Y.), 143:2 (2007), 2875–2882  mathnet  crossref  mathscinet  zmath  elib
    6. Nina Ivochkina, Neil Trudinger, Xu-Jia Wang, “The Dirichlet Problem for Degenerate Hessian Equations”, Communications in Partial Differential Equations, 29:1-2 (2005), 219  crossref  mathscinet
    7. Avner Friedman, The IMA Volumes in Mathematics and its Applications, 31, Mathematics in Industrial Problems, 1990, 183  crossref
    8. N. V. Krylov, “Smoothness of the value function for a controlled diffusion process in a domain”, Math. USSR-Izv., 34:1 (1990), 65–95  mathnet  crossref  mathscinet  zmath
    9. N. V. Krylov, “On moment estimates for quasiderivative of solutions of stochastic equations with respect to the initial data, and their applications”, Math. USSR-Sb., 64:2 (1989), 505–526  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
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    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    References:69
     
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