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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 513, Pages 21–26
DOI: https://doi.org/10.31857/S2686954323700273 (Mi danma412) 		 
MATHEMATICS

Fokker–Planck–Kolmogorov equations with a parameter

V. I. Bogachevabcd, S. V. Shaposhnikovacd

a National Research University Higher School of Economics, Moscow, Russia
b Saint-Tikhon's Orthodox University, Moscow, Russia
c Lomonosov Moscow State University, Moscow, Russia
d Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.31857/S2686954323700273
Abstract: For Fokker–Planck–Kolmogorov equations with coefficients depending measurably on a parameter we prove the existence of solutions that are measurable with respect to this parameter.
Keywords: Fokker–Planck–Kolmogorov equation, measurability with respect to a parameter.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-284
The paper is supported by the Ministry of Science and Higher Education of the Russian Federation within the program of the Moscow Center of Fundamental and Applied Mathematics, agreement no. 075-15-2022-284.
Received: 22.06.2023
Revised: 24.08.2023
Accepted: 20.09.2023
English version:
Doklady Mathematics, 2023, Volume 108, Issue 2, Pages 357–362
DOI: https://doi.org/10.1134/S1064562423600471
Bibliographic databases:
Document Type: Article
UDC: 517.955
Language: Russian
Citation: V. I. Bogachev, S. V. Shaposhnikov, “Fokker–Planck–Kolmogorov equations with a parameter”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023), 21–26; Dokl. Math., 108:2 (2023), 357–362
Citation in format AMSBIB
\Bibitem{BogSha23}
\by V.~I.~Bogachev, S.~V.~Shaposhnikov
\paper Fokker--Planck--Kolmogorov equations with a parameter
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 513
\pages 21--26
\mathnet{http://mi.mathnet.ru/danma412}
\crossref{https://doi.org/10.31857/S2686954323700273}
\elib{https://elibrary.ru/item.asp?id=56716511}
\transl
\jour Dokl. Math.
\yr 2023
\vol 108
\issue 2
\pages 357--362
\crossref{https://doi.org/10.1134/S1064562423600471}
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