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Nonlinear analysis, ISSN 0362-546X, 11/2015, Volume 128, pp. 199 - 226
Journal Article
Journal of dynamics and differential equations, ISSN 1040-7294, 6/2016, Volume 28, Issue 2, pp. 493 - 518
... on Arbitrary Domains Oxana A. Manita 1 · Stanislav V . Shaposhnikov 1 , 2 Received: 2 August 2014 / Revised: 8 April 2015 / Published online: 21 April 2015 © Springer... 
Ordinary Differential Equations | Fokker–Planck–Kolmogorov equation | 60J60 | Diffusion process | Mathematics | Applications of Mathematics | 35K12 | 60J35 | Partial Differential Equations | 47D07 | Cauchy problem | 35K10 | Physical Sciences | Mathematics, Applied | Science & Technology
Journal Article
Probability theory and related fields, ISSN 1432-2064, 02/2013, Volume 158, Issue 1-2, pp. 465 - 476
Journal Article
Journal of evolution equations, ISSN 1424-3199, 06/2020, Volume 20, Issue 2, pp. 355 - 374
We prove a formula representing solutions to parabolic Fokker-Planck-Kolmogorov equations with coefficients of low regularity. This formula is applied for... 
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Coefficients | Mathematical analysis | Upper bounds | Formulas (mathematics) | Regularity
Journal Article
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, ISSN 1120-6330, 01/2019, Volume 30, Issue 1, pp. 205 - 221
We prove two new results connected with elliptic Fokker-Planck-Kolmogorov equations with drifts integrable with respect to solutions. The first result answers... 
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Journal of functional analysis, ISSN 0022-1236, 06/2019, Volume 276, Issue 12, pp. 3681 - 3713
We study convergence in variation of probability solutions of nonlinear Fokker–Planck–Kolmogorov equations to stationary solutions. We obtain sufficient... 
Stationary measure | Exponential convergence | Nonlinear Fokker–Planck–Kolmogorov equation | Physical Sciences | Mathematics | Science & Technology
Journal Article
Annali di matematica pura ed applicata, ISSN 0373-3114, 10/2017, Volume 196, Issue 5, pp. 1609 - 1635
... I. Bogachev 1 · Stanislav V . Shaposhnikov 1 Received: 12 May 2016 / Accepted: 24 December 2016 / Published online: 4 January 2017 © Fondazione Annali di Matematica Pura... 
Harnack’s inequality | Primary 35J15 | Secondary 35B65 | Mathematics, general | Mathematics | Double divergence form equation | Continuity of solutions | Stationary Fokker–Planck–Kolmogorov equation | Physical Sciences | Mathematics, Applied | Science & Technology | Continuity | Divergence | Integral calculus | Mathematical analysis
Journal Article
Nonlinear analysis, ISSN 0362-546X, 11/2015, Volume 128, pp. 199 - 226
We study uniqueness of families of probability measures solving the Cauchy problem for nonlinear Fokker Planck Kolmogorov equation with unbounded coefficients.... 
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Journal of dynamics and differential equations, ISSN 1572-9222, 02/2020
We prove a generalization of the known result of Trevisan on the Ambrosio-FigalliTrevisan superposition principle for probability solutions to the Cauchy... 
Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Journal of clinical oncology, ISSN 0732-183X, 05/2020, Volume 38, Issue 15_suppl, pp. e16695 - e16695
e16695 Background: 90% of pancreatic cancers are adenocarcinomas. Pancreatic neuroendocrine tumors (PNET) are much less common. However, some adenocarcinomas... 
Journal Article
Discrete and continuous dynamical systems, ISSN 1078-0947, 07/2016, Volume 36, Issue 7, pp. 3519 - 3543
We obtain sufficient conditions for the differentiability of solutions to stationary Fokker-Planck-Kolmogorov equations with respect to a parameter. In... 
Stationary Fokker-Planck-Kolmogorov equation | Differentiability with respect to a parameter | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
07/2018, Springer Proceedings in Mathematics & Statistics, ISBN 9783319749280, Volume 229
ExistenceShaposhnikov, Stanislav and uniqueness of solutions of the Cauchy problem for nonlinear Fokker–Planck... 
Nonlinear Fokker–Planck–Kolmogorov equation | McKean–Vlasov equation | 35Q84 | 35Q83 | 35K55 | Existence and uniqueness of solutions to the Cauchy problem for nonlinear parabolic equations
Book Chapter
Journal of functional analysis, ISSN 0022-1236, 2008, Volume 254, Issue 10, pp. 2690 - 2705
We consider the set of all probability measures μ on R d satisfying an elliptic equation L ∗ μ = 0 in the weak worm. We give sufficient conditions in order... 
Nonuniqueness | Elliptic equation for measures | Physical Sciences | Mathematics | Science & Technology
Journal Article
03/2019
We prove a generalization of the known result of Trevisan on the Ambrosio-Figalli-Trevisan superposition principle for probability solutions to the Cauchy... 
Mathematics - Probability
Journal Article
07/2013
We consider Fokker--Planck--Kolmogorov equations with unbounded coefficients and obtain upper estimates of solutions. We also obtain new estimates involving... 
Mathematics - Analysis of PDEs
Journal Article
03/2018
We prove two new results connected with elliptic Fokker-Planck-Kolmogorov equations with drifts integrable with respect to solutions. The first result answers... 
Mathematics - Probability
Journal Article
Annali della Scuola normale superiore di Pisa, Classe di scienze, ISSN 0391-173X, 01/2015, Volume 14, Issue 3, pp. 983 - 1023
We prove a new uniqueness result for solutions to Fokker-Planck-Kolmogorov (FPK) equations for probability measures on infinite-dimensional spaces. We consider... 
Physical Sciences | Mathematics | Science & Technology
Journal Article
07/2013
We study the Cauchy problem for Fokker--Planck--Kolmogorov equations with unbounded and degenerate coefficients. Sufficient conditions for the existence and... 
Mathematics - Analysis of PDEs
Journal Article
Journal of evolution equations, ISSN 1424-3199, 9/2013, Volume 13, Issue 3, pp. 577 - 593
... Equations On uniqueness of solutions to the Cauchy problem for degenerate Fokker–Planck–Kolmogorov equations Vladimir I. Bogachev, Michael R ¨ ockner and Stanislav V... 
Degenerate parabolic equation | Analysis | Uniqueness | Mathematics | 35K15 | 35K67 | 35K10 | 35K65 | Cauchy problem | Physical Sciences | Mathematics, Applied | Science & Technology
Journal Article
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