RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Tr. Mosk. Mat. Obs.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Tr. Mosk. Mat. Obs., 2013, Volume 74, Issue 1, Pages 17–34 (Mi mmo539)  
This article is cited in 3 scientific papers (total in 3 papers)

The Fokker–Planck–Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix

S. V. Shaposhnikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We study solutions of the Fokker–Planck–Kolmogorov equation with unbounded coefficients and a non-uniformly elliptic diffusion matrix. Upper bounds for solutions are obtained. In addition, new estimates with a Lyapunov function are obtained.

Key words and phrases: parabolic equations for measures; Fokker–Planck–Kolmogorov equation; diffusion processes.

Full text: PDF file (301 kB)
References: PDF file   HTML file

English version:
Transactions of the Moscow Mathematical Society, 2013, 74, 15–29

Bibliographic databases:

UDC: 517.986.7
MSC: 35R15, 35K10, 60J60
Received: 05.02.2013

Citation: S. V. Shaposhnikov, “The Fokker–Planck–Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix”, Tr. Mosk. Mat. Obs., 74, no. 1, MCCME, M., 2013, 17–34; Trans. Moscow Math. Soc., 74 (2013), 15–29

Citation in format AMSBIB
\Bibitem{Sha13}
\by S.~V.~Shaposhnikov
\paper The Fokker--Planck--Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix
\serial Tr. Mosk. Mat. Obs.
\yr 2013
\vol 74
\issue 1
\pages 17--34
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo539}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3123622}
\zmath{https://zbmath.org/?q=an:06371554}
\elib{https://elibrary.ru/item.asp?id=21369362}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2013
\vol 74
\pages 15--29
\crossref{https://doi.org/10.1090/S0077-1554-2014-00211-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84945127497}


Linking options:
  • http://mi.mathnet.ru/eng/mmo539
  • http://mi.mathnet.ru/eng/mmo/v74/i1/p17

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Manita O.A., Romanov M.S., Shaposhnikov S.V., “on Uniqueness of Solutions To Nonlinear Fokker-Planek-Kolmogorov Equations”, Nonlinear Anal.-Theory Methods Appl., 128 (2015), 199–226  crossref  mathscinet  zmath  isi  scopus
    2. M. Kunze, L. Lorenzi, A. Rhandi, “Kernel estimates for nonautonomous Kolmogorov equations”, Adv. Math., 287 (2016), 600–639  crossref  mathscinet  zmath  isi  elib  scopus
    3. V. I. Bogachev, M. Roeckner, S. V. Shaposhnikov, “Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations”, J. Funct. Anal., 271:5 (2016), 1262–1300  crossref  mathscinet  zmath  isi  scopus
    		• Trudy Moskovskogo Matematicheskogo Obshchestva
    Number of views:
    This page:798
    Full text:308
    References:32
     
    Contact us:
    		  Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021