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Bogachev, Vladimir Igorevich

Author ID: bogachev.vladimir-i Recent zbMATH articles by "Bogachev, Vladimir Igorevich"
Published as: Bogachev, V. I.; Bogachev, Vladimir I.; Bogachev, Vladimir; Bogachev, V.; Bogachëv, Vladimir; Bogachëv, V. I.; Bogachev, Vladimir Igorevich
Homepage: https://www.hse.ru/en/org/persons/23831005
External Links: MGP · ORCID · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND
Documents Indexed: 246 Publications since 1982, including 8 Books and 2 Additional arXiv Preprints
Biographic References: 1 Publication
Co-Authors: 75 Co-Authors with 186 Joint Publications
2,773 Co-Co-Authors
all top 5

Co-Authors

59 single-authored
71 Röckner, Michael
53 Shaposhnikov, Stanislav V.
17 Da Prato, Giuseppe
17 Kolesnikov, Alexander V.
13 Popova, Svetlana Nikolaevna
9 Kosov, Egor D.
9 Shaposhnikov, Alexander V.
8 Krylov, Nicolaĭ Vladimirovich
8 Wang, Feng-Yu
7 Kirillov, A. I.
6 Malofeev, Il’ya Igorevich
6 Pilipenko, Andrey Yu.
5 Banakh, Taras Onufrievich
5 Smolyanov, Oleg Georgievich
4 Krasovitskii, T. I.
4 Mayer-Wolf, Eduardo
3 Accardi, Luigi
3 Kozlov, Valeriĭ Vasil’evich
3 Sadovnichiĭ, Viktor Antonovich
3 Stannat, Wilhelm
3 Stëpin, Anatoliĭ Mikhaĭlovich
3 Zelenov, Georgiĭ Il’ich
2 Afonin, Konstantin A.
2 Agafontsev, B. V.
2 Airault, Hélène
2 Albeverio, Sergio A.
2 Doledenok, A. N.
2 Goldys, Beniamin
2 Kalinin, A. N.
2 Kashin, Boris Sergeevich
2 Khrennikov, Andreĭ Yur’evich
2 Lescot, Paul
2 Lukintsova, M. N.
2 Maslov, Viktor Pavlovich
2 Medvedev, Kirill V.
2 Miftakhov, Azat F.
2 Pugachev, O. V.
2 Rebrova, E. A.
2 Rezbaev, Airat V.
2 Schachermayer, Walter
2 Shavgulidze, Eugene T.
2 Shkarin, Stanislav A.
2 Sobol, Zeev
2 Tikhomirov, Vladimir Mikhaĭlovich
2 Veretennikov, Alexander Yu.
2 Volovich, Igor’ Vasil’evich
1 Aleksandrova, D. E.
1 Alekseev, Georgii A.
1 Alexandrova, Daria
1 Alkhutov, Yuriy Alexandrovich
1 Astashova, Irina Viktorovna
1 Barbu, Viorel
1 Chebotarev, Alexandr M.
1 Denisov, Vasiliĭ Nikolaevich
1 Fedorchuk, Vitaly Vitalievich
1 Kirchheim, Bernd
1 Kobanenko, Konstantin
1 Lipchyus, A. A.
1 Mena Jurado, Juan Francisco
1 Navarro Pascual, Juan Carlos
1 Nourdin, Ivan
1 Pastukhova, Svetlana Evgenievna
1 Piatnitski, Andrey L.
1 Pilipenko, Andrei
1 Poly, Guillaume
1 Priola, Enrico
1 Prostov, Yuriy I.
1 Sadovnichij, Yu. V.
1 Schmuland, Byron
1 Shamaev, Alexei S.
1 Shkalikov, Andreĭ Andreevich
1 Tolmachev, N. A.
1 Uglanov, Alexey V.
1 Vladimirov, Vasiliĭ Sergeevich
1 Zhang, Tusheng S.
all top 5

Serials

72 Doklady Mathematics
12 Theory of Probability and its Applications
11 Journal of Mathematical Sciences (New York)
10 Russian Mathematical Surveys
9 Journal of Functional Analysis
8 Mathematical Notes
7 Sbornik: Mathematics
5 Functional Analysis and its Applications
5 Comptes Rendus de l’Académie des Sciences. Série I
4 Acta Universitatis Carolinae. Mathematica et Physica
4 Communications in Partial Differential Equations
4 Mathematical Surveys and Monographs
3 Probability Theory and Related Fields
3 Potential Analysis
3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
3 Journal of Evolution Equations
2 Journal of Mathematical Analysis and Applications
2 Moscow University Mathematics Bulletin
2 Siberian Mathematical Journal
2 Soviet Mathematics. Doklady
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
2 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Moscow Mathematical Journal
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Proceedings of the Steklov Institute of Mathematics
2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Analysis Mathematica
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Matematicheskie Zametki
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Teoriya Veroyatnosteĭ i eë Primeneniya
1 Ukrainian Mathematical Journal
1 Ukraïns’kyĭ Matematychnyĭ Zhurnal
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Optimization
1 Bulletin of the London Mathematical Society
1 Journal of Differential Equations
1 Matematicheskiĭ Sbornik. Novaya Seriya
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Real Analysis Exchange
1 Transactions of the American Mathematical Society
1 Probability and Mathematical Statistics
1 Acta Applicandae Mathematicae
1 Journal of Complexity
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Mathematics of the USSR, Sbornik
1 Journal of Dynamics and Differential Equations
1 Izvestiya Rossiĭskoĭ Akademii Nauk. Seriya Matematicheskaya
1 Russian Academy of Sciences. Izvestiya. Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Georgian Mathematical Journal
1 NoDEA. Nonlinear Differential Equations and Applications
1 Izvestiya: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Communications in Contemporary Mathematics
1 Theory of Stochastic Processes
1 Communications on Pure and Applied Analysis
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Kyoto Journal of Mathematics
1 Springer Monographs in Mathematics
1 Moscow Lectures

Publications by Year

Citations contained in zbMATH Open

208 Publications have been cited 3,813 times in 2,373 Documents Cited by Year
Measure theory. Vol. I and II. Zbl 1120.28001
Bogachev, V. I.
2007
Gaussian measures. Transl. from the Russian by the author. Zbl 0913.60035
Bogachev, Vladimir I.
294
1998
On the small balls problem for equivalent Gaussian measures. Zbl 0938.28010
Bogachev, V. I.
173
1998
Fokker-Planck-Kolmogorov equations. Zbl 1342.35002
Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V.
173
2015
On regularity of transition probabilities and invariant measures of singular diffusions under minimal conditions. Zbl 0997.35012
Bogachev, V. I.; Krylov, N. V.; Röckner, M.
133
2001
Differentiable measures and the Malliavin calculus. Zbl 1247.28001
Bogachev, Vladimir I.
108
2010
The Monge-Kantorovich problem: achievements, connections, and perspectives. Zbl 1276.28029
Bogachev, V. I.; Kolesnikov, A. V.
76
2012
Weak convergence of measures. Zbl 1412.60003
Bogachev, Vladimir I.
66
2018
Elliptic and parabolic equations for measures. Zbl 1194.35481
Bogachev, V. I.; Krylov, N. V.; Röckner, M.
64
2009
Topological vector spaces and their applications. Translated from the Russian. Expanded and revised translation, originally published 2012. Zbl 1378.46001
Bogachev, V. I.; Smolyanov, O. G.
52
2017
Regularity of invariant measures on finite and infinite dimensional spaces and applications. Zbl 0840.60069
Bogachev, Vladimir I.; Röckner, Michael
44
1995
Generalized Mehler semigroups and applications. Zbl 0849.60066
Bogachev, Vladimir I.; Röckner, Michael; Schmuland, Byron
42
1996
Differentiable measures and the Malliavin calculus. Zbl 0929.58015
Bogachev, V. I.
42
1997
Uniqueness of solutions of elliptic equations and uniqueness of invariant measures of diffusions. Zbl 1055.58009
Bogachev, V. I.; Röckner, M.; Stannat, W.
41
2002
A generalization of Khasminskij’s theorem on the existence of invariant measures for locally integrable drifts. Zbl 1004.60061
Bogachev, V.; Röckner, M.
41
2000
On parabolic equations for measures. Zbl 1323.35058
Bogachev, V. I.; Da Prato, G.; Röckner, M.
38
2008
On uniqueness of invariant measures for finite- and infinite-dimensional diffusions. Zbl 0998.60064
Albeverio, S.; Bogachev, V.; Röckner, M.
32
1999
Gaussian measures. (Gaussovskie mery.) Zbl 0883.60032
Bogachev, V. I.
30
1997
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.
30
2016
Elliptic equations for invariant measures on finite and infinite dimensional manifolds. Zbl 0996.58023
Bogachev, Vladimir I.; Röckner, Michael; Wang, Feng-Yu
28
2001
Real and functional analysis. Zbl 1466.26002
Bogachev, Vladimir I.; Smolyanov, Oleg G.
27
2020
Uniqueness of solutions to weak parabolic equations for measures. Zbl 1129.35039
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Stannat, W.
26
2007
Analytic properties of infinite-dimensional distributions. Zbl 0708.60049
Bogachëv, V. I.; Smolyanov, O. G.
26
1990
Elliptic regularity and essential self-adjointness of Dirichlet operators on \(\mathbb{R}^n\). Zbl 0901.35017
Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael
26
1997
On uniqueness problems related to elliptic equations for measures. Zbl 1290.35289
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
26
2011
Absolutely continuous flows generated by Sobolev class vector fields in finite and infinite dimensions. Zbl 0956.60079
Bogachev, Vladimir; Mayer-Wolf, Eduardo
25
1999
Ornstein-Uhlenbeck operators and semigroups. Zbl 06945050
Bogachev, Vladimir I.
25
2018
On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. Zbl 1266.60111
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
24
2012
Triangular transformations of measures. Zbl 1072.28010
Bogachev, V. I.; Kolesnikov, A. V.; Medvedev, K. V.
23
2005
Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy-Landau-Littlewood inequality. Zbl 1405.60022
Bogachev, Vladimir I.; Kosov, Egor D.; Zelenov, Georgii I.
22
2018
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
22
2010
Fokker-Planck equations and maximal dissipativity for Kolmogorov operators with time dependent singular drifts in Hilbert spaces. Zbl 1161.47027
Bogachev, V. I.; Da Prato, G.; Röckner, M.
21
2009
\(k^*\)-metrizable spaces and their applications. Zbl 1332.54180
Banakh, T. O.; Bogachev, V. I.; Kolesnikov, A. V.
21
2008
Regularity of invariant measures: The case of non-constant diffusion part. Zbl 0929.60039
Bogachev, V. I.; Krylov, N.; Röckner, M.
20
1996
Elliptic equations for measures on infinite dimensional spaces and applications. Zbl 1086.35114
Bogachev, Vladimir I.; Röckner, Michael
20
2001
Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
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.
19
2011
Existence of solutions to weak parabolic equations for measures. Zbl 1072.35076
Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael
18
2004
Elliptic equations for measures: regularity and global bounds of densities. Zbl 1206.35242
Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael
17
2006
Integrability and continuity of solutions to double divergence form equations. Zbl 1378.35093
Bogachev, Vladimir I.; Shaposhnikov, Stanislav V.
17
2017
Uniqueness of invariant measures and essential \(m\)-dissipativity of diffusion operators on \(L^1\). Zbl 0989.60072
Bogachev, Vladimir I.; Röckner, Michael; Stannat, Wilhelm
16
2000
Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures. Zbl 1383.28003
Bogachev, V. I.
16
2016
Gaussian measures on infinite-dimensional spaces. Zbl 1345.60003
Bogachev, V. I.
15
2014
Mehler formula and capacities for infinite dimensional Ornstein-Uhlenbeck processes with general linear drift. Zbl 0849.60004
Bogachev, Vladimir I.; Röckner, Michael
14
1995
Sobolev functions on infinite-dimensional domains. Zbl 1310.46035
Bogachev, Vladimir I.; Pilipenko, Andrey Yu.; Shaposhnikov, Alexander V.
14
2014
On the Ambrosio-Figalli-Trevisan superposition principle for probability solutions to Fokker-Planck-Kolmogorov equations. Zbl 1474.60185
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
13
2021
Global regularity and bounds for solutions of parabolic equations for probability measures. Zbl 1203.60095
Bogachev, V. I.; Rockner, M.; Shaposhnikov, S. V.
13
2006
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.
13
2019
Extreme points in spaces of continuous functions. Zbl 0832.46030
Bogachev, V. I.; Mena-Jurado, J. F.; Navarro-Pascual, J. C.
13
1995
On the Monge-Ampère equation in infinite dimensions. Zbl 1103.49001
Bogachev, Vladimir I.; Kolesnikov, Alexander V.
13
2005
Smooth measures, the Malliavin calculus and approximations in infinite dimensional spaces. Zbl 0834.46028
Bogachev, V. I.
13
1990
Weak solutions to the stochastic porous media equation via Kolmogorov equations: the degenerate case. Zbl 1104.60034
Barbu, Viorel; Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael
13
2006
Estimates of densities of stationary distributions and transition probabilities of diffusion processes. Zbl 1154.35322
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
12
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.
12
2015
Uniqueness problems for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1321.35242
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
12
2015
Invariant measures of generalized stochastic porous medium equations. Zbl 1282.60060
Bogachev, V. I.; Da Prato, G.; Röckner, M.
11
2004
Some remarks on Rademacher’s theorem in infinite dimensions. Zbl 0848.46026
Bogachev, V. I.; Mayer-Wolf, E.
11
1996
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.
11
2014
Parabolic equations for measures on infinite-dimensional spaces. Zbl 1221.35442
Bogachev, V. I.; Da Prato, G.; Röckner, M.
10
2008
Some results on differentiable measures. Zbl 0597.46043
Bogachev, V. I.
10
1986
Nonlinear evolution and transport equations for measures. Zbl 1200.35047
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
10
2009
Regularity of invariant measures for a class of perturbed Ornstein-Uhlenbeck operators. Zbl 0852.60071
Bogachev, Vladimir I.; Da Prato, Giuseppe; Röckner, Michael
10
1996
Three problems of Aronszajn in measure theory. Zbl 0576.28003
Bogachëv, V. I.
10
1984
Negligible sets in locally convex spaces. Zbl 0576.28022
Bogachev, V. I.
10
1984
Invariance implies Gibbsian: some new results. Zbl 1064.53021
Bogachev, Vladimir I.; Röckner, Michael; Wang, Feng-Yu
10
2004
Existence and uniqueness of invariant measures: An approach via sectorial forms. Zbl 0953.31003
Bogachev, V.; Röckner, M.; Zhang, T. S.
10
2000
Sobolev regularity for the Monge-Ampère equation in the Wiener space. Zbl 1286.28011
Bogachev, Vladimir I.; Kolesnikov, Alexander V.
10
2013
Membership of distributions of polynomials in the Nikolskii-Besov class. Zbl 1352.60054
Bogachev, V. I.; Zelenov, G. I.; Kosov, E. D.
10
2016
The Poisson equation and estimates for distances between stationary distributions of diffusions. Zbl 1406.35408
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
10
2018
Open mappings of probability measures and the Skorokhod representation theorem. Zbl 1023.60002
Bogachev, V. I.; Kolesnikov, A. V.
9
2001
On Gaussian Nikolskii-Besov classes. Zbl 1381.28013
Bogachev, V. I.; Kosov, E. D.; Popova, S. N.
9
2017
Kantorovich problems and conditional measures depending on a parameter. Zbl 1509.28003
Bogachev, Vladimir I.; Malofeev, Ilya I.
8
2020
Estimates of the Kantorovich norm on manifolds. Zbl 1331.58014
Bogachev, V. I.; Wang, F.-Y.; Shaposhnikov, A. V.
8
2015
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.
8
2013
On the uniqueness of solutions to continuity equations. Zbl 1333.35312
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V.
8
2015
The Kantorovich problem with a parameter and density constraints. Zbl 1523.49052
Bogachev, V. I.; Doledenok, A. N.; Malofeev, I. I.
7
2021
Invariant measures of diffusion processes: Regularity, existence, and uniqueness problems. Zbl 1005.31006
Bogachev, Vladimir I.; Röckner, Michael
7
2002
A characterization of Nikolskii-Besov classes via integration by parts. Zbl 1448.46025
Bogachev, V. I.; Kosov, E. D.; Popova, S. N.
7
2017
Lower bounds for the Kantorovich distance. Zbl 1320.26015
Bogachev, V. I.; Shaposhnikov, A. V.
7
2015
Surface measures generated by differentiable measures. Zbl 1342.28027
Bogachev, Vladimir I.; Malofeev, Ilya I.
7
2016
On probability and integrable solutions to the stationary Kolmogorov equation. Zbl 1239.60064
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
7
2011
A new approach to Nikolskii-Besov classes. Zbl 1460.46021
Bogachev, Vladimir I.; Kosov, Egor D.; Popova, Svetlana N.
6
2019
Distribution of polynomials in many variables and Nikolskii-Besov spaces. Zbl 1423.28039
Bogachev, Vladimir I.
6
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.
6
2018
Locally convex spaces with the property of central limit theorem and measure supports. Zbl 0664.60011
Bogachev, V. I.
6
1986
On Skorokhod differentiability of measures. Zbl 0672.60003
Bogachev, V. I.
6
1988
Deterministic and stochastic differential equations in infinite- dimensional spaces. Zbl 0829.34050
Bogachev, V. I.
6
1995
The martingale problem for pseudo-differential operators on infinite-dimensional spaces. Zbl 0934.60043
Bogachev, V.; Lescot, P.; Röckner, M.
6
1999
Measures on topological spaces. Zbl 0910.28009
Bogachev, V. I.
6
1998
Kantorovich problem of optimal transportation of measures: new directions of research. Zbl 07733481
Bogachev, Vladimir I.
6
2022
Functions of bounded variation on infinite-dimensional spaces with measures. Zbl 1276.46028
Bogachev, V. I.; Rebrova, E. A.
6
2013
Positive densities of transition probabilities of diffusion processes. Zbl 1204.60047
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
5
2009
On the equality of values in the Monge and Kantorovich problems. Zbl 1428.49049
Bogachev, V. I.; Kalinin, A. N.; Popova, S. N.
5
2019
Some results on differentiable measures. Zbl 0582.46050
Bogachev, V. I.
5
1985
Realization of Virasoro unitarizing measures on the set of Jordan curves. Zbl 1040.58015
Airault, Helene; Bogachev, Vladimir
5
2003
The Ornstein-Uhlenbeck process associated with the Lévy Laplacian and its Dirichlet form. Zbl 0880.60083
Accardi, Luigi; Bogachev, Vladimir I.
5
1997
Classes of functions of bounded variation on infinite-dimensional domains. Zbl 1286.46044
Bogachev, V. I.; Pilipenko, A. Yu.; Rebrova, E. A.
5
2013
Chebyshev-Hermite polynomials and distributions of polynomials in Gaussian random variables. Zbl 1492.60033
Bogachev, V. I.
5
2022
Existence of solutions to the nonlinear Kantorovich transportation problem. Zbl 1504.49062
Bogachev, V. I.; Rezbaev, A. V.
5
2022
On convergence in variation of weakly convergent multidimensional distributions. Zbl 1432.60011
Bogachev, V. I.; Zelenov, G. I.
5
2015
Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations. Zbl 1510.35088
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
3
2023
Regularity of solutions to Kolmogorov equations with perturbed drifts. Zbl 1512.35193
Bogachev, Vladimir I.; Kosov, Egor D.; Shaposhnikov, Alexander V.
2
2023
Kantorovich type topologies on spaces of measures and convergence of barycenters. Zbl 07675982
Afonin, Konstantin A.; Bogachev, Vladimir I.
2
2023
Sobolev and Besov classes on infinite-dimensional spaces. Zbl 07814409
Bogachev, V. I.
1
2023
Kantorovich problem of optimal transportation of measures: new directions of research. Zbl 07733481
Bogachev, Vladimir I.
6
2022
Chebyshev-Hermite polynomials and distributions of polynomials in Gaussian random variables. Zbl 1492.60033
Bogachev, V. I.
5
2022
Existence of solutions to the nonlinear Kantorovich transportation problem. Zbl 1504.49062
Bogachev, V. I.; Rezbaev, A. V.
5
2022
Kantorovich problems with a parameter and density constraints. Zbl 1482.49050
Bogachev, V. I.
3
2022
Pointwise conditions for membership of functions in weighted Sobolev classes. Zbl 1508.46023
Bogachev, V. I.
2
2022
On Kantorovich problems with a parameter. Zbl 1514.90008
Bogachev, V. I.; Popova, S. N.
1
2022
Applications of Zvonkin’s transform to stationary Kolmogorov equations. Zbl 1506.35056
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
1
2022
Nonlinear Kantorovich problems with a parameter. Zbl 1504.49063
Bogachev, Vladimir Igorevich; Malofeev, Il’ya Igorevich
1
2022
On the Ambrosio-Figalli-Trevisan superposition principle for probability solutions to Fokker-Planck-Kolmogorov equations. Zbl 1474.60185
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
13
2021
The Kantorovich problem with a parameter and density constraints. Zbl 1523.49052
Bogachev, V. I.; Doledenok, A. N.; Malofeev, I. I.
7
2021
On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation. Zbl 1479.35861
Bogachev, V. I.; Krasovitskii, T. I.; Shaposhnikov, S. V.
3
2021
On sequential properties of spaces of measures. Zbl 1478.60011
Bogachev, V. I.
3
2021
On distributions of homogeneous and convex functions in Gaussian random variables. Zbl 1490.60036
Bogachev, V. I.; Kosov, E. D.; Popova, S. N.
2
2021
Uniqueness of a probability solution to the Kolmogorov equation with a diffusion matrix satisfying Dini’s condition. Zbl 1486.35164
Bogachev, V. I.; Shaposhnikov, S. V.
2
2021
On nonuniqueness of probability solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equation. Zbl 1483.35274
Bogachev, V. I.; Krasovitskii, T. I.; Shaposhnikov, S. V.
1
2021
On Skorokhod differentiable measures. Zbl 1477.28001
Bogachev, V. I.
1
2021
On Gaussian transition operators. Zbl 1487.81108
Alekseev, G. A.; Afonin, K. A.; Bogachev, V. I.
1
2021
Real and functional analysis. Zbl 1466.26002
Bogachev, Vladimir I.; Smolyanov, Oleg G.
27
2020
Kantorovich problems and conditional measures depending on a parameter. Zbl 1509.28003
Bogachev, Vladimir I.; Malofeev, Ilya I.
8
2020
Representations of solutions to Fokker-Planck-Kolmogorov equations with coefficients of low regularity. Zbl 1440.35060
Bogachev, Vladimir I.; Shaposhnikov, Stanislav V.
3
2020
Non-uniform Kozlov-Treschev averagings in the ergodic theorem. Zbl 1508.37021
Bogachev, Vladimir I.
3
2020
Densities of distributions of homogeneous functions of Gaussian random vectors. Zbl 1492.60009
Bogachev, V. I.; Kosov, E. D.; Popova, S. N.
2
2020
The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation. Zbl 1477.35001
Bogachev, V. I.; Krasovitskii, T. I.; Shaposhnikov, S. V.
2
2020
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.
13
2019
A new approach to Nikolskii-Besov classes. Zbl 1460.46021
Bogachev, Vladimir I.; Kosov, Egor D.; Popova, Svetlana N.
6
2019
Distribution of polynomials in many variables and Nikolskii-Besov spaces. Zbl 1423.28039
Bogachev, Vladimir I.
6
2019
On the equality of values in the Monge and Kantorovich problems. Zbl 1428.49049
Bogachev, V. I.; Kalinin, A. N.; Popova, S. N.
5
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.
3
2019
On Sobolev regularity of solutions to Fokker-Planck-Kolmogorov equations with drifts in \(L^1\). Zbl 1419.35015
Bogachev, Vladimir I.; Popova, Svetlana N.; Shaposhnikov, Stanislav V.
3
2019
Log-Sobolev-type inequalities for solutions to stationary Fokker-Planck-Kolmogorov equations. Zbl 1427.35025
Bogachev, V. I.; Shaposhnikov, A. V.; Shaposhnikov, S. V.
3
2019
On the Kantorovich problem with a parameter. Zbl 1447.28014
Bogachev, V. I.; Malofeev, I. I.
2
2019
On the superposition principle for Fokker-Planck-Kolmogorov equations. Zbl 1433.35407
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
2
2019
Differential properties of semigroups and estimates of distances between stationary distributions of diffusions. Zbl 1478.60216
Bogachev, V. I.; Miftakhov, A. F.; Shaposhnikov, S. V.
2
2019
Weak convergence of measures. Zbl 1412.60003
Bogachev, Vladimir I.
66
2018
Ornstein-Uhlenbeck operators and semigroups. Zbl 06945050
Bogachev, Vladimir I.
25
2018
Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy-Landau-Littlewood inequality. Zbl 1405.60022
Bogachev, Vladimir I.; Kosov, Egor D.; Zelenov, Georgii I.
22
2018
The Poisson equation and estimates for distances between stationary distributions of diffusions. Zbl 1406.35408
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
10
2018
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.
6
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.
4
2018
Negligible sets in infinite-dimensional spaces. Zbl 1424.28022
Bogachev, V. I.
3
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
Stationary Fokker-Planck-Kolmogorov equations. Zbl 1406.35409
Bogachev, Vladimir I.
1
2018
Topological vector spaces and their applications. Translated from the Russian. Expanded and revised translation, originally published 2012. Zbl 1378.46001
Bogachev, V. I.; Smolyanov, O. G.
52
2017
Integrability and continuity of solutions to double divergence form equations. Zbl 1378.35093
Bogachev, Vladimir I.; Shaposhnikov, Stanislav V.
17
2017
On Gaussian Nikolskii-Besov classes. Zbl 1381.28013
Bogachev, V. I.; Kosov, E. D.; Popova, S. N.
9
2017
A characterization of Nikolskii-Besov classes via integration by parts. Zbl 1448.46025
Bogachev, V. I.; Kosov, E. D.; Popova, S. N.
7
2017
Surface measures in infinite-dimensional spaces. Zbl 1485.28002
Bogachev, Vladimir I.
3
2017
Weighted Zolotarev metrics and the Kantorovich metric. Zbl 1378.60011
Bogachev, V. I.; Doledenok, A. N.; Shaposhnikov, S. V.
1
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.
30
2016
Distributions of polynomials on multidimensional and infinite-dimensional spaces with measures. Zbl 1383.28003
Bogachev, V. I.
16
2016
Membership of distributions of polynomials in the Nikolskii-Besov class. Zbl 1352.60054
Bogachev, V. I.; Zelenov, G. I.; Kosov, E. D.
10
2016
Surface measures generated by differentiable measures. Zbl 1342.28027
Bogachev, Vladimir I.; Malofeev, Ilya I.
7
2016
On inequalities relating the Sobolev and Kantorovich norms. Zbl 1354.26023
Bogachev, V. I.; Wang, F.-Y.; Shaposhnikov, A. V.
5
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.
4
2016
On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes. Zbl 1363.60003
Bogachev, V. I.; Miftakhov, A. F.
3
2016
Integrability and continuity of densities of stationary distributions of diffusions. Zbl 1352.60112
Bogachev, V. I.; Shaposhnikov, S. V.
1
2016
Strong solutions to stochastic equations with a Lévy noise and a non-constant diffusion coefficient. Zbl 1352.60083
Bogachev, V. I.; Pilipenko, A. Yu.
1
2016
Fokker-Planck-Kolmogorov equations. Zbl 1342.35002
Bogachev, Vladimir I.; Krylov, Nicolai V.; Röckner, Michael; Shaposhnikov, Stanislav V.
173
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.
12
2015
Uniqueness problems for degenerate Fokker-Planck-Kolmogorov equations. Zbl 1321.35242
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
12
2015
Estimates of the Kantorovich norm on manifolds. Zbl 1331.58014
Bogachev, V. I.; Wang, F.-Y.; Shaposhnikov, A. V.
8
2015
On the uniqueness of solutions to continuity equations. Zbl 1333.35312
Bogachev, V. I.; Da Prato, G.; Röckner, M.; Shaposhnikov, S. V.
8
2015
Lower bounds for the Kantorovich distance. Zbl 1320.26015
Bogachev, V. I.; Shaposhnikov, A. V.
7
2015
On convergence in variation of weakly convergent multidimensional distributions. Zbl 1432.60011
Bogachev, V. I.; Zelenov, G. I.
5
2015
Strong solutions to stochastic equations with Lévy noise and a discontinuous drift coefficient. Zbl 1327.60115
Bogachev, V. I.; Pilipenko, A. Yu.
4
2015
Differentiability of invariant measures of diffusions with respect to a parameter. Zbl 1325.35226
Bogachev, V. I.; Veretennikov, A. Yu.; Shaposhnikov, S. V.
4
2015
A continuous cost function for which the minima in the Monge and Kantorovich problems are not equal. Zbl 1333.49065
Bogachev, V. I.; Kalinin, A. N.
2
2015
Two properties of vectors of quadratic forms in Gaussian random variables. Zbl 1320.60040
Bogachev, V. I.; Kosov, E. D.; Nourdin, I.; Poly, G.
2
2015
Gaussian measures on infinite-dimensional spaces. Zbl 1345.60003
Bogachev, V. I.
15
2014
Sobolev functions on infinite-dimensional domains. Zbl 1310.46035
Bogachev, Vladimir I.; Pilipenko, Andrey Yu.; Shaposhnikov, Alexander V.
14
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.
11
2014
On parabolic inequalities for generators of diffusions with jumps. Zbl 1293.60073
Bogachev, Vladimir I.; Röckner, Michael; Shaposhnikov, Stanislav V.
4
2014
Sobolev classes on infinite-dimensional spaces. Zbl 1328.46031
Bogachev, Vladimir I.
4
2014
On the distributions of smooth functions on infinite-dimensional spaces with measures. Zbl 1305.60009
Bogachev, V. I.; Malofeev, I. I.
3
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 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
Sobolev regularity for the Monge-Ampère equation in the Wiener space. Zbl 1286.28011
Bogachev, Vladimir I.; Kolesnikov, Alexander V.
10
2013
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.
8
2013
Functions of bounded variation on infinite-dimensional spaces with measures. Zbl 1276.46028
Bogachev, V. I.; Rebrova, E. A.
6
2013
Classes of functions of bounded variation on infinite-dimensional domains. Zbl 1286.46044
Bogachev, V. I.; Pilipenko, A. Yu.; Rebrova, E. A.
5
2013
On extensions of Sobolev functions on the Wiener space. Zbl 1282.46032
Bogachev, V. I.; Shaposhnikov, A. V.
4
2013
The Monge-Kantorovich problem: achievements, connections, and perspectives. Zbl 1276.28029
Bogachev, V. I.; Kolesnikov, A. V.
76
2012
On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. Zbl 1266.60111
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
24
2012
The Radon transform in infinite-dimensional spaces. Zbl 1261.44001
Bogachev, V. I.; Lukintsova, M. N.
3
2012
Integrable solutions of the stationary Kolmogorov equation. Zbl 1260.60133
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
3
2012
On uniqueness problems related to elliptic equations for measures. Zbl 1290.35289
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V.
26
2011
Uniqueness for solutions of Fokker-Planck equations on infinite dimensional spaces. Zbl 1239.60051
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
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.
19
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
Existence results for Fokker-Planck equations in Hilbert spaces. Zbl 1247.60089
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
3
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
Differentiable measures and the Malliavin calculus. Zbl 1247.28001
Bogachev, Vladimir I.
108
2010
Existence and uniqueness of solutions for Fokker-Planck equations on Hilbert spaces. Zbl 1239.34063
Bogachev, Vladimir; Da Prato, Giuseppe; Röckner, Michael
22
2010
Non uniform averagings in the ergodic theorem for stochastic flows. Zbl 1221.37011
Bogachev, V. I.; Korolev, A. V.; Pilipenko, A. Yu.
2
2010
Invariant measures of diffusions with gradient drifts. Zbl 1222.60058
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V.
2
2010
Elliptic and parabolic equations for measures. Zbl 1194.35481
Bogachev, V. I.; Krylov, N. V.; Röckner, M.
64
2009
...and 108 more Documents
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Cited by 2,905 Authors

129 Bogachev, Vladimir Igorevich
98 Röckner, Michael
64 Shaposhnikov, Stanislav V.
40 Da Prato, Giuseppe
31 Wang, Feng-Yu
25 Kosov, Egor D.
23 Kolesnikov, Alexander V.
19 Albeverio, Sergio A.
19 Ambrosio, Luigi
16 Lunardi, Alessandra
15 Sakbaev, Vsevolod Zhanovich
14 Barbu, Viorel
14 Pallara, Diego
14 Schwab, Christoph
13 Flandoli, Franco
13 Shaposhnikov, Alexander V.
13 Yi, Yingfei
12 Savaré, Giuseppe
12 Stuart, Andrew M.
11 Kondrat’yev, Yuriĭ Grygorovych
11 Lin, Shou
11 Lorenzi, Luca
11 Smolyanov, Oleg Georgievich
10 Ferrando, Juan Carlos
10 Gigli, Nicola
10 Hairer, Martin
10 Luo, Dejun
9 Ferrari, Simone
9 Finster, Felix
9 Ji, Min
9 Miranda, Michele jun.
9 Ostaszewski, Adam J.
9 Popova, Svetlana Nikolaevna
9 Sullivan, Tim
8 Addona, Davide
8 Arutyunyan, Lavrentin Martunovich
8 Bingham, Nicholas Hugh
8 Gordina, Maria
8 Kunze, Markus Christian
8 Liu, Zhenxin
8 Lorenz, Thomas
8 Manita, Oxana A.
8 Peletier, Mark Adriaan
8 Pérez-Aros, Pedro
8 Rhandi, Abdelaziz
8 Zhang, Xicheng
7 Arapostathis, Aristotle
7 Banakh, Taras Onufrievich
7 Biswas, Anup
7 Bobkov, Sergey Germanovich
7 Bogdansky, Yu. V.
7 Fonseca-Mora, Christian A.
7 Grothaus, Martin
7 Hille, Sander Cornelis
7 Hosseini, Bamdad
7 Kirillov, A. I.
7 Kozitsky, Yuri Vasil’evich
7 Lie, Han Cheng
7 Malofeev, Il’ya Igorevich
7 Novaga, Matteo
7 Pavliotis, Grigorios A.
7 Saldi, Naci
7 Sun, Yeneng
7 van Neerven, Jan M. A. M.
7 Van Schaftingen, Jean
7 Vershik, Anatoliĭ Moiseevich
7 Wang, Heping
7 Wu, Liming
6 Airault, Hélène
6 Angiuli, Luciana
6 Beznea, Lucian
6 Dello Schiavo, Lorenzo
6 Dufour, François
6 Feinberg, Eugene Aleksandrovich
6 Gess, Benjamin
6 Goffi, Alessandro
6 Gwiazda, Piotr
6 Huang, Wen
6 Kostenko, Aleksey S.
6 Krasovitskii, T. I.
6 Laksaci, Ali
6 Lanconelli, Alberto
6 Marzouk, Youssef M.
6 Pilipenko, Andrey Yu.
6 Prieto-Rumeau, Tomás
6 Priola, Enrico
6 Pugachev, O. V.
6 Sharma, Upanshu
6 Tubaro, Luciano
6 Yaroslavtsev, Ivan S.
5 Aida, Shigeki
5 Buet, Blanche
5 Cappa, Gianluca
5 Cirant, Marco
5 Criens, David
5 de Jeu, Marcel
5 Eckhardt, Jonathan
5 Friz, Peter
5 Gabriyelyan, Saak S.
5 Garoni, Carlo
...and 2,805 more Authors
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Cited in 454 Serials

106 Journal of Functional Analysis
84 Doklady Mathematics
77 Journal of Mathematical Analysis and Applications
57 Stochastic Processes and their Applications
42 Journal of Differential Equations
40 Potential Analysis
38 Mathematical Notes
38 Electronic Journal of Probability
36 The Annals of Probability
35 Probability Theory and Related Fields
31 SIAM Journal on Control and Optimization
30 Topology and its Applications
30 Journal of Evolution Equations
28 Journal of Mathematical Sciences (New York)
26 Transactions of the American Mathematical Society
25 SIAM Journal on Mathematical Analysis
25 Calculus of Variations and Partial Differential Equations
24 Journal of Theoretical Probability
23 The Annals of Applied Probability
23 Journal de Mathématiques Pures et Appliquées. Neuvième Série
23 Infinite Dimensional Analysis, Quantum Probability and Related Topics
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
21 Communications in Mathematical Physics
21 Stochastic and Partial Differential Equations. Analysis and Computations
21 SIAM/ASA Journal on Uncertainty Quantification
20 Applied Mathematics and Optimization
19 Statistics & Probability Letters
19 Positivity
18 Archive for Rational Mechanics and Analysis
17 Advances in Mathematics
17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Inverse Problems
16 Discrete and Continuous Dynamical Systems
14 Theory of Probability and its Applications
13 Journal of Statistical Physics
13 Communications in Partial Differential Equations
13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
12 Nonlinearity
12 Automatica
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Journal of Mathematical Physics
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11 Functional Analysis and its Applications
11 Mathematische Annalen
11 Stochastics and Dynamics
10 Journal of Approximation Theory
10 Memoirs of the American Mathematical Society
10 NoDEA. Nonlinear Differential Equations and Applications
10 Finance and Stochastics
10 Annales Henri Poincaré
9 Israel Journal of Mathematics
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9 Proceedings of the American Mathematical Society
9 Journal of Complexity
9 Bulletin des Sciences Mathématiques
9 Bernoulli
9 Sbornik: Mathematics
9 Mathematical Finance
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Proceedings of the Steklov Institute of Mathematics
9 Electronic Journal of Statistics
9 Discrete and Continuous Dynamical Systems. Series S
9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
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8 Stochastic Analysis and Applications
8 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
8 The Journal of Geometric Analysis
8 Journal of Dynamics and Differential Equations
8 Electronic Communications in Probability
8 Journal of the European Mathematical Society (JEMS)
8 Acta Mathematica Sinica. English Series
8 Journal of Machine Learning Research (JMLR)
8 Communications on Pure and Applied Analysis
8 ALEA. Latin American Journal of Probability and Mathematical Statistics
8 Probability Surveys
7 Inventiones Mathematicae
7 Journal of Mathematical Economics
7 Mathematische Nachrichten
7 Acta Applicandae Mathematicae
7 Physica D
7 Constructive Approximation
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Foundations of Computational Mathematics
7 Discrete and Continuous Dynamical Systems. Series B
7 Stochastics
7 SIAM Journal on Financial Mathematics
7 Science China. Mathematics
6 Communications on Pure and Applied Mathematics
6 Journal of Computational Physics
6 Mathematical Methods in the Applied Sciences
6 Mathematics of Computation
6 Integral Equations and Operator Theory
6 Journal of the Mathematical Society of Japan
6 Journal of Optimization Theory and Applications
6 Numerische Mathematik
6 Russian Journal of Mathematical Physics
6 Chaos
...and 354 more Serials
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Cited in 60 Fields

1,067 Probability theory and stochastic processes (60-XX)
665 Partial differential equations (35-XX)
357 Functional analysis (46-XX)
294 Measure and integration (28-XX)
279 Operator theory (47-XX)
228 Calculus of variations and optimal control; optimization (49-XX)
183 Statistics (62-XX)
169 Numerical analysis (65-XX)
167 Dynamical systems and ergodic theory (37-XX)
149 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
121 Global analysis, analysis on manifolds (58-XX)
113 Statistical mechanics, structure of matter (82-XX)
107 Systems theory; control (93-XX)
90 Operations research, mathematical programming (90-XX)
82 Ordinary differential equations (34-XX)
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19 Mechanics of particles and systems (70-XX)
15 Several complex variables and analytic spaces (32-XX)
15 Difference and functional equations (39-XX)
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13 Mechanics of deformable solids (74-XX)
11 Optics, electromagnetic theory (78-XX)
9 Group theory and generalizations (20-XX)
9 Geometry (51-XX)
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