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Shaposhnikov, Stanislav V.

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Author ID: shaposhnikov.stanislav-v Recent zbMATH articles by "Shaposhnikov, Stanislav V."
Published as: Shaposhnikov, S. V.; Shaposhnikov, Stanislav V.
Documents Indexed: 64 Publications since 2006, including 1 Book

Publications by Year

Citations contained in zbMATH

48 Publications have been cited 278 times in 119 Documents Cited by Year
Fokker-Planck-Kolmogorov equations. Zbl 1342.35002
Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V.
44
2015
On uniqueness problems related to elliptic equations for measures. Zbl 1290.35289
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
20
2011
Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1345.35051
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
15
2016
On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. Zbl 1266.60111
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
15
2012
On uniqueness problems related to the Fokker-Planck-Kolmogorov equation for measures. Zbl 1291.35425
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
15
2011
On nonuniqueness of solutions to elliptic equations for probability measures. Zbl 1197.35092
Shaposhnikov, Stanislav V.
12
2008
Nonlinear evolution and transport equations for measures. Zbl 1200.35047
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
11
2009
On uniqueness of solutions to nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1336.35334
Manita, Oxana A.; Romanov, Maxim S.; Shaposhnikov, Stanislav V.
10
2015
On the Cauchy problem for Fokker-Planck-Kolmogorov equations with potential terms on arbitrary domains. Zbl 1348.35092
Manita, Oxana A.; Shaposhnikov, Stanislav V.
8
2016
Nonlinear parabolic equations for measures. Zbl 1286.35137
Manita, O. A.; Shaposhnikov, S. V.
8
2014
Estimates of densities of stationary distributions and transition probabilities of diffusion processes. Zbl 1154.35322
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
8
2008
An analytic approach to infinite-dimensional continuity and Fokker-Planck-Kolmogorov equations. Zbl 1332.60099
Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael; Shaposhnikov, Stanislav V.
7
2015
On the uniqueness of solutions to continuity equations. Zbl 1333.35312
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V.
7
2015
The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker-Planck-Kolmogorov equations. Zbl 1315.35221
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
7
2014
On probability and integrable solutions to the stationary Kolmogorov equation. Zbl 1239.60064
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
7
2011
Global regularity and bounds for solutions of parabolic equations for probability measures. Zbl 1203.60095
Bogachev, V. I.; Rockner, M.; Shaposhnikov, S. V.
7
2006
Integrability and continuity of solutions to double divergence form equations. Zbl 1378.35093
Bogachev, Vladimir I.; Shaposhnikov, Stanislav V.
6
2017
On the uniqueness of integrable and probability solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equations. Zbl 1235.35274
Shaposhnikov, S. V.
6
2011
Uniqueness problems for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1321.35242
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
5
2015
On uniqueness of a probability solution to the Cauchy problem for the Fokker-Planck-Kolmogorov equation. Zbl 1238.35168
Shaposhnikov, S. V.
5
2012
Distances between stationary distributions of diffusions and solvability of nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1388.60139
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
4
2018
On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1273.35271
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
4
2013
Differentiability of invariant measures of diffusions with respect to a parameter. Zbl 1325.35226
Bogachev, V. I.; Veretennikov, A. Yu.; Shaposhnikov, S. V.
3
2015
The Fokker-Planck-Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix. Zbl 1310.35229
Shaposhnikov, S. V.
3
2013
Integrable solutions of the stationary Kolmogorov equation. Zbl 1260.60133
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
3
2012
Nonlinear evolution equations for measures on infinite dimensional spaces. Zbl 1275.60051
Bohachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V.
3
2010
Lower estimates of densities of solutions of elliptic equations for measures. Zbl 1188.35193
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
3
2009
The nonuniqueness of solutions to elliptic equations for probability measures. Zbl 1172.35084
Shaposhnikov, S. V.
3
2008
Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures. Zbl 1411.60010
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
2
2019
Nonlinear Fokker-Planck-Kolmogorov equations for measures. Zbl 1406.35406
Shaposhnikov, Stanislav V.
2
2018
The Poisson equation and estimates for distances between stationary distributions of diffusions. Zbl 1406.35408
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2
2018
Differentiability of solutions of stationary Fokker-Planck-Kolmogorov equations with respect to a parameter. Zbl 1346.60099
Bogachev, Vladimir I.; Shaposhnikov, Stanislav V.; Veretennikov, Alexander Yu.
2
2016
Uniqueness of probability solutions to nonlinear Fokker-Planck-Kolmogorov equation. Zbl 1326.60097
Manita, O. A.; Romanov, M. S.; Shaposhnikov, S. V.
2
2015
Nonlinear parabolic equations for measures. Zbl 06149512
Manita, O. A.; Shaposhnikov, S. V.
2
2012
Invariant measures of diffusions with gradient drifts. Zbl 1222.60058
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
2
2010
On interior estimates of the Sobolev norms of solutions of elliptic equations. Zbl 1156.35017
Shaposhnikov, S. V.
2
2008
On Morrey’s estimate of the Sobolev norms of solutions of elliptic equations. Zbl 1143.35016
Shaposhnikov, S. V.
2
2006
On convergence to stationary distributions for solutions of nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1431.35208
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
1
2019
Differential properties of semigroups and estimates of distances between stationary distributions of diffusions. Zbl 07082256
Bogachev, V. I.; Miftakhov, A. F.; Shaposhnikov, S. V.
1
2019
On Sobolev classes containing solutions to Fokker-Planck-Kolmogorov equations. Zbl 1410.35243
Bogachev, V. I.; Popova, S. N.; Shaposhnikov, S. V.
1
2018
On non-uniqueness of probability solutions to the two-dimensional stationary Fokker-Planck-Kolmogorov equation. Zbl 1433.35406
Bogachev, V. I.; Krasovitskii, T. I.; Shaposhnikov, S. V.
1
2018
Integrability and continuity of densities of stationary distributions of diffusions. Zbl 1352.60112
Bogachev, V. I.; Shaposhnikov, S. V.
1
2016
On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution. Zbl 1339.60083
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
1
2014
A stationary Fokker-Planck-Kolmogorov equation with a potential. Zbl 1297.35240
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
1
2014
On parabolic inequalities for generators of diffusions with jumps. Zbl 1293.60073
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
1
2014
A condition for the positivity of the density of an invariant measure. Zbl 1266.60121
Agafontsev, B. V.; Bogachev, V. I.; Shaposhnikov, S. V.
1
2011
Estimates of solutions of parabolic equations for measures. Zbl 1221.35080
Shaposhnikov, S. V.
1
2010
Positive densities of transition probabilities of diffusion processes. Zbl 1204.60047
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
1
2009
Convergence in variation of solutions of nonlinear Fokker-Planck-Kolmogorov equations to stationary measures. Zbl 1411.60010
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
2
2019
On convergence to stationary distributions for solutions of nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1431.35208
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
1
2019
Differential properties of semigroups and estimates of distances between stationary distributions of diffusions. Zbl 07082256
Bogachev, V. I.; Miftakhov, A. F.; Shaposhnikov, S. V.
1
2019
Distances between stationary distributions of diffusions and solvability of nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1388.60139
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
4
2018
Nonlinear Fokker-Planck-Kolmogorov equations for measures. Zbl 1406.35406
Shaposhnikov, Stanislav V.
2
2018
The Poisson equation and estimates for distances between stationary distributions of diffusions. Zbl 1406.35408
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2
2018
On Sobolev classes containing solutions to Fokker-Planck-Kolmogorov equations. Zbl 1410.35243
Bogachev, V. I.; Popova, S. N.; Shaposhnikov, S. V.
1
2018
On non-uniqueness of probability solutions to the two-dimensional stationary Fokker-Planck-Kolmogorov equation. Zbl 1433.35406
Bogachev, V. I.; Krasovitskii, T. I.; Shaposhnikov, S. V.
1
2018
Integrability and continuity of solutions to double divergence form equations. Zbl 1378.35093
Bogachev, Vladimir I.; Shaposhnikov, Stanislav V.
6
2017
Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1345.35051
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
15
2016
On the Cauchy problem for Fokker-Planck-Kolmogorov equations with potential terms on arbitrary domains. Zbl 1348.35092
Manita, Oxana A.; Shaposhnikov, Stanislav V.
8
2016
Differentiability of solutions of stationary Fokker-Planck-Kolmogorov equations with respect to a parameter. Zbl 1346.60099
Bogachev, Vladimir I.; Shaposhnikov, Stanislav V.; Veretennikov, Alexander Yu.
2
2016
Integrability and continuity of densities of stationary distributions of diffusions. Zbl 1352.60112
Bogachev, V. I.; Shaposhnikov, S. V.
1
2016
Fokker-Planck-Kolmogorov equations. Zbl 1342.35002
Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V.
44
2015
On uniqueness of solutions to nonlinear Fokker-Planck-Kolmogorov equations. Zbl 1336.35334
Manita, Oxana A.; Romanov, Maxim S.; Shaposhnikov, Stanislav V.
10
2015
An analytic approach to infinite-dimensional continuity and Fokker-Planck-Kolmogorov equations. Zbl 1332.60099
Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael; Shaposhnikov, Stanislav V.
7
2015
On the uniqueness of solutions to continuity equations. Zbl 1333.35312
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V.
7
2015
Uniqueness problems for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1321.35242
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
5
2015
Differentiability of invariant measures of diffusions with respect to a parameter. Zbl 1325.35226
Bogachev, V. I.; Veretennikov, A. Yu.; Shaposhnikov, S. V.
3
2015
Uniqueness of probability solutions to nonlinear Fokker-Planck-Kolmogorov equation. Zbl 1326.60097
Manita, O. A.; Romanov, M. S.; Shaposhnikov, S. V.
2
2015
Nonlinear parabolic equations for measures. Zbl 1286.35137
Manita, O. A.; Shaposhnikov, S. V.
8
2014
The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker-Planck-Kolmogorov equations. Zbl 1315.35221
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
7
2014
On existence of Lyapunov functions for a stationary Kolmogorov equation with a probability solution. Zbl 1339.60083
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
1
2014
A stationary Fokker-Planck-Kolmogorov equation with a potential. Zbl 1297.35240
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
1
2014
On parabolic inequalities for generators of diffusions with jumps. Zbl 1293.60073
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
1
2014
On uniqueness of solutions to the Cauchy problem for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1273.35271
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
4
2013
The Fokker-Planck-Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix. Zbl 1310.35229
Shaposhnikov, S. V.
3
2013
On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. Zbl 1266.60111
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
15
2012
On uniqueness of a probability solution to the Cauchy problem for the Fokker-Planck-Kolmogorov equation. Zbl 1238.35168
Shaposhnikov, S. V.
5
2012
Integrable solutions of the stationary Kolmogorov equation. Zbl 1260.60133
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
3
2012
Nonlinear parabolic equations for measures. Zbl 06149512
Manita, O. A.; Shaposhnikov, S. V.
2
2012
On uniqueness problems related to elliptic equations for measures. Zbl 1290.35289
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
20
2011
On uniqueness problems related to the Fokker-Planck-Kolmogorov equation for measures. Zbl 1291.35425
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
15
2011
On probability and integrable solutions to the stationary Kolmogorov equation. Zbl 1239.60064
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
7
2011
On the uniqueness of integrable and probability solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equations. Zbl 1235.35274
Shaposhnikov, S. V.
6
2011
A condition for the positivity of the density of an invariant measure. Zbl 1266.60121
Agafontsev, B. V.; Bogachev, V. I.; Shaposhnikov, S. V.
1
2011
Nonlinear evolution equations for measures on infinite dimensional spaces. Zbl 1275.60051
Bohachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V.
3
2010
Invariant measures of diffusions with gradient drifts. Zbl 1222.60058
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
2
2010
Estimates of solutions of parabolic equations for measures. Zbl 1221.35080
Shaposhnikov, S. V.
1
2010
Nonlinear evolution and transport equations for measures. Zbl 1200.35047
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
11
2009
Lower estimates of densities of solutions of elliptic equations for measures. Zbl 1188.35193
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
3
2009
Positive densities of transition probabilities of diffusion processes. Zbl 1204.60047
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
1
2009
On nonuniqueness of solutions to elliptic equations for probability measures. Zbl 1197.35092
Shaposhnikov, Stanislav V.
12
2008
Estimates of densities of stationary distributions and transition probabilities of diffusion processes. Zbl 1154.35322
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
8
2008
The nonuniqueness of solutions to elliptic equations for probability measures. Zbl 1172.35084
Shaposhnikov, S. V.
3
2008
On interior estimates of the Sobolev norms of solutions of elliptic equations. Zbl 1156.35017
Shaposhnikov, S. V.
2
2008
Global regularity and bounds for solutions of parabolic equations for probability measures. Zbl 1203.60095
Bogachev, V. I.; Rockner, M.; Shaposhnikov, S. V.
7
2006
On Morrey’s estimate of the Sobolev norms of solutions of elliptic equations. Zbl 1143.35016
Shaposhnikov, S. V.
2
2006
all top 5

Cited by 131 Authors

42 Shaposhnikov, Stanislav V.
37 Bogachev, Vladimir Igorevich
24 Röckner, Michael
10 Yi, Yingfei
8 Ji, Min
8 Manita, Oxana A.
6 Kirillov, A. I.
5 Da Prato, Giuseppe
5 Huang, Wen
5 Liu, Zhenxin
4 Lorenzi, Luca
4 Sharma, Upanshu
3 Pavliotis, Grigorios A.
3 Peletier, Mark Adriaan
3 Romanov, Maksim S.
2 Baur, Benedict
2 Blanc, Xavier
2 Cirant, Marco
2 Duong, Manh Hong
2 Flandoli, Franco
2 Grothaus, Martin
2 Huseyin, Nesir
2 Krasovitskii, T. I.
2 Lamacz, Agnes
2 Le Bris, Claude
2 Lions, Pierre-Louis
2 Masoero, Marco
2 Qi, Weiwei
2 Rhandi, Abdelaziz
2 Schlichting, André
2 Shaposhnikov, Alexander V.
2 Shen, Zhongwei
2 Shen, Zhongwei
2 Silva, Francisco J.
2 Veretennikov, Alexander Yu.
1 Abdulle, Assyr
1 Aibeche, Aissa
1 Albeverio, Sergio A.
1 Angiuli, Luciana
1 Annunziato, Mario
1 Arapostathis, Aristotle
1 Attanasio, Stefano
1 Barbu, Viorel
1 Bardi, Martino
1 Bonicatto, Paolo
1 Borzì, Alfio
1 Caffarelli, Luis Ángel
1 Capdeboscq, Yves
1 Cardaliaguet, Pierre
1 Carlini, Elisabetta
1 Carrillo de la Plata, José Antonio
1 Catuogno, Pedro José
1 Cetrone, Daniele
1 Chen, Lifeng
1 Chen, Linghua
1 Chen, Xian
1 Coghi, Michele
1 Di Persio, Luca
1 Doledenok, A. N.
1 Dong, Zhao
1 Eberle, Andreas
1 Fischer, Markus
1 Fotsa Mbogne, David Jaures
1 Geissert, Matthias
1 Gess, Benjamin
1 Gomes, Susana N.
1 Guseinov, Khalik G.
1 Gusev, Nikolaĭ Anatol’evich
1 Gusev, Nikolay A. G.
1 Gvalani, Rishabh S.
1 Hartmann, Carsten
1 Hilder, Bastian
1 Huseyin, Anar
1 Jakobsen, Espen Robstad
1 Jentzen, Arnulf
1 Jia, Chen
1 Jiang, Jifa
1 Kim, Jong Uhn
1 Kolesnikov, Alexander V.
1 Kolokoltsov, Vassili N.
1 Krylov, Nicolaĭ Vladimirovich
1 Kunze, Markus Christian
1 Kutoyants, Yury A.
1 La, Joonhyun
1 Laidoune, Karima
1 Ledesma, Diego Sebastian
1 Lemle, Ludovic Dan
1 Li, Huaiqian
1 Li, Yao
1 Luo, Dejun
1 Mannucci, Paola
1 Marchi, Claudio
1 Mariconda, Carlo
1 Mastrogiacomo, Elisa
1 Mehri, Sima
1 Mészáros, Alpár Richárd
1 Miftakhov, A. F.
1 Motrunich, A.
1 Neureither, Lara
1 Niu, Lei
...and 31 more Authors
all top 5

Cited in 52 Serials

25 Doklady Mathematics
6 Journal of Dynamics and Differential Equations
6 Journal of Mathematical Sciences (New York)
5 Journal of Functional Analysis
5 Journal of Evolution Equations
4 Journal of Differential Equations
4 Communications in Partial Differential Equations
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Potential Analysis
2 Russian Mathematical Surveys
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Transactions of the American Mathematical Society
2 Physica D
2 SIAM Journal on Mathematical Analysis
2 Stochastic Processes and their Applications
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Journal of Nonlinear Science
2 Calculus of Variations and Partial Differential Equations
2 St. Petersburg Mathematical Journal
2 Discrete and Continuous Dynamical Systems
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 International Journal of Control
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Metrika
1 Nonlinearity
1 Theory of Probability and its Applications
1 Advances in Mathematics
1 The Annals of Probability
1 Archiv der Mathematik
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Transactions of the Moscow Mathematical Society
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 NoDEA. Nonlinear Differential Equations and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Discrete and Continuous Dynamical Systems. Series B
1 Stochastics and Dynamics
1 Communications on Pure and Applied Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 International Journal of Biomathematics
1 Science China. Mathematics
1 Eurasian Mathematical Journal
1 Dynamic Games and Applications
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 SIAM/ASA Journal on Uncertainty Quantification
1 EMS Surveys in Mathematical Sciences
1 Minimax Theory and its Applications

Citations by Year