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Algebra i Analiz, 2013, Volume 25, Issue 1, Pages 64–93 (Mi aa1317)  

This article is cited in 21 scientific papers (total in 21 papers)

Research Papers

Nonlinear parabolic equations for measures

O. A. Manita, S. V. Shaposhnikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia
References:
Received: 12.02.2012
English version:
St. Petersburg Mathematical Journal, 2014, Volume 25, Issue 1, Pages 43–62
DOI: https://doi.org/10.1090/S1061-0022-2013-01279-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. A. Manita, S. V. Shaposhnikov, “Nonlinear parabolic equations for measures”, Algebra i Analiz, 25:1 (2013), 64–93; St. Petersburg Math. J., 25:1 (2014), 43–62
Citation in format AMSBIB
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\transl
\jour St. Petersburg Math. J.
\yr 2014
\vol 25
\issue 1
\pages 43--62
\crossref{https://doi.org/10.1090/S1061-0022-2013-01279-9}
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Linking options:
  • https://www.mathnet.ru/eng/aa1317
  • https://www.mathnet.ru/eng/aa/v25/i1/p64
  • This publication is cited in the following 21 articles:
    1. Viorel Barbu, Michael Röckner, Lecture Notes in Mathematics, 2353, Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts, 2024, 13  crossref
    2. V. I. Bogachev, S. V. Shaposhnikov, “Nonlinear Fokker–Planck–Kolmogorov equations”, Russian Math. Surveys, 79:5 (2024), 751–805  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    3. Gennaro Ciampa, Francesco Rossi, “Vanishing viscosity in mean-field optimal control”, ESAIM: COCV, 29 (2023), 29  crossref
    4. Della Maestra L., Hoffmann M., “Nonparametric Estimation For Interacting Particle Systems: Mckean-Vlasov Models”, Probab. Theory Relat. Field, 182:1-2 (2022), 551–613  crossref  mathscinet  isi  scopus
    5. Marco Rehmeier, “Flow selections for (nonlinear) Fokker–Planck–Kolmogorov equations”, Journal of Differential Equations, 328 (2022), 105  crossref
    6. Bogachev V.I., Roeckner M., Shaposhnikov S.V., “On the Ambrosio-Figalli-Trevisan Superposition Principle For Probability Solutions to Fokker-Planck-Kolmogorov Equations”, J. Dyn. Differ. Equ., 33:2 (2021), 715–739  crossref  mathscinet  isi
    7. Roeckner M., Zhang X., “Well-Posedness of Distribution Dependent Sdes With Singular Drifts”, Bernoulli, 27:2 (2021), 1131–1158  crossref  mathscinet  isi
    8. Gennaro Ciampa, Francesco Rossi, 2021 60th IEEE Conference on Decision and Control (CDC), 2021, 185  crossref
    9. Bogachev I V., Roeckner M., Shaposhnikov V S., “Convergence in Variation of Solutions of Nonlinear Fokker-Planck-Kolmogorov Equations to Stationary Measures”, J. Funct. Anal., 276:12 (2019), 3681–3713  crossref  mathscinet  zmath  isi  scopus
    10. Coghi M., Gess B., “Stochastic Nonlinear Fokker-Planck Equations”, Nonlinear Anal.-Theory Methods Appl., 187 (2019), 259–278  crossref  mathscinet  zmath  isi
    11. V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “On Convergence to Stationary Distributions for Solutions of Nonlinear Fokker–Planck–Kolmogorov Equations”, J Math Sci, 242:1 (2019), 69  crossref
    12. E. Carlini, F. J. Silva, “On the discretization of some nonlinear Fokker–Planck–Kolmogorov equations and applications”, SIAM J. Numer. Anal., 56:4 (2018), 2148–2177  crossref  mathscinet  zmath  isi  scopus
    13. Oxana A. Manita, Maxim S. Romanov, Stanislav V. Shaposhnikov, “Estimates of distances between solutions of Fokker–Planck–Kolmogorov equations with partially degenerate diffusion matrices”, Theory Stoch. Process., 23(39):2 (2018), 41–54  mathnet
    14. Stanislav V. Shaposhnikov, Springer Proceedings in Mathematics & Statistics, 229, Stochastic Partial Differential Equations and Related Fields, 2018, 367  crossref
    15. O. A. Manita, M. S. Romanov, S. V. Shaposhnikov, “Fokker–Planck–Kolmogorov equations with a partially degenerate diffusion matrix”, Dokl. Math., 96:1 (2017), 384–388  crossref  mathscinet  zmath  isi  scopus
    16. O. A. Manita, “Estimates for transportation costs along solutions to Fokker–Planck–Kolmogorov equations with dissipative drifts”, Rend. Lincei-Mat. Appl., 28:3 (2017), 601–618  crossref  mathscinet  zmath  isi  scopus
    17. V. I. Bogachev, M. Roeckner, S. V. Shaposhnikov, “Estimates of distances between transition probabilities of diffusions”, Dokl. Math., 93:2 (2016), 135–139  crossref  mathscinet  zmath  isi  elib  scopus
    18. 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
    19. J. Math. Sci. (N. Y.), 216:1 (2016), 120–135  mathnet  crossref  mathscinet
    20. O. A. Manita, M. S. Romanov, S. V. Shaposhnikov, “On uniqueness of solutions to nonlinear Fokker–Planck–Kolmogorov equatio”, Nonlinear Anal., 128 (2015), 199–226  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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