V. I. Bogachev, S. V. Shaposhnikov, “On reconstruction of Kolmogorov operators with discontinuous coefficients”, Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024), 5–8; Dokl. Math., 109:2 (2024), 103–108
2.
V. I. Bogachev, I. I. Malofeev, S. V. Shaposhnikov, “On dependence of solutions to Fokker–Planck–Kolmogorov equations on their coefficients and initial data”, Math. Notes, 116:3 (2024), 421–431
3.
S. V. Shaposhnikov, D. V. Shatilovich, “Khas'minskii's Theorem for the Kolmogorov Equation
with Partially Singular Diffusion Matrix”, Mat. Zametki, 115:3 (2024), 466–480; Math. Notes, 115:3 (2024), 427–438
4.
V. I. Bogachev, S. V. Shaposhnikov, “Nonlinear Fokker–Planck–Kolmogorov equations”, Uspekhi Mat. Nauk, 79:5(479) (2024), 3–60; Russian Math. Surveys, 79:5 (2024), 751–805
5.
V. I. Bogachev, S. V. Shaposhnikov, “Kolmogorov equations for degenerate Ornstein–Uhlenbeck operators”, Sibirsk. Mat. Zh., 65:1 (2024), 27–37
2023
6.
V. I. Bogachev, D. I. Salakhov, S. V. Shaposhnikov, “The Fokker–Planck–Kolmogorov equation with nonlinear terms of local and types”, Algebra i Analiz, 35:5 (2023), 11–38; St. Petersburg Math. J., 35:5 (2024), 749–767
V. I. Bogachev, S. V. Shaposhnikov, “Fokker–Planck–Kolmogorov equations with a parameter”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023), 21–26; Dokl. Math., 108:2 (2023), 357–362
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Kolmogorov problems on equations for stationary and transition probabilities of diffusion processes”, Teor. Veroyatnost. i Primenen., 68:3 (2023), 420–455; Theory Probab. Appl., 68:3 (2023), 342–369
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Applications of Zvonkin's transform to stationary Kolmogorov equations”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022), 20–24; Dokl. Math., 106:2 (2022), 318–321
T. I. Krasovitskii, S. V. Shaposhnikov, “The superposition principle for Fokker–Planck–Kolmogorov equations with unbounded coefficients”, Funktsional. Anal. i Prilozhen., 56:4 (2022), 59–79; Funct. Anal. Appl., 56:4 (2022), 282–298
V. I. Bogachev, S. V. Shaposhnikov, “Uniqueness of a probability solution to the Kolmogorov equation with a diffusion matrix satisfying Dini’s condition”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021), 11–15; Dokl. Math., 104:3 (2021), 322–325
V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov, “On nonuniqueness of probability solutions to the Cauchy problem for the Fokker–Planck–Kolmogorov equation”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021), 16–20; Dokl. Math., 103:3 (2021), 108–112
V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov, “On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation”, Mat. Sb., 212:6 (2021), 3–42; Sb. Math., 212:6 (2021), 745–781
V. I. Bogachev, T. I. Krasovitskii, S. V. Shaposhnikov, “The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 22–25; Dokl. Math., 102:3 (2020), 464–467
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
J. V. Tikhonov, S. V. Shaposhnikov, I. A. Sheipak, “On the Singularity of Functions and the Quantization of Probability Measures”, Mat. Zametki, 102:4 (2017), 628–631; Math. Notes, 102:4 (2017), 587–590
17.
V. I. Bogachev, A. I. Kirillov, S. V. Shaposhnikov, “Distances between stationary distributions of diffusions and solvability of nonlinear Fokker–Planck–Kolmogorov equations”, Teor. Veroyatnost. i Primenen., 62:1 (2017), 16–43; Theory Probab. Appl., 62:1 (2018), 12–34
V. I. Bogachev, A. I. Kirillov, S. V. Shaposhnikov, “The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker–Planck–Kolmogorov equations”, Math. Notes, 96:5 (2014), 855–863
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
S. V. Shaposhnikov, “The Fokker–Planck–Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix”, Tr. Mosk. Mat. Obs., 74:1 (2013), 17–34; Trans. Moscow Math. Soc., 74 (2013), 15–29
S. V. Shaposhnikov, “Regular and qualitative properties of solutions for parabolic equations for measures”, Teor. Veroyatnost. i Primenen., 56:2 (2011), 318–350; Theory Probab. Appl., 56:2 (2011), 252–279
S. V. Shaposhnikov, “On the uniqueness of a probabilistic solution of the Cauchy problem for the Fokker–Planck–Kolmogorov equation”, Teor. Veroyatnost. i Primenen., 56:1 (2011), 77–99; Theory Probab. Appl., 56:1 (2012), 96–115
S. V. Shaposhnikov, “Lower estimates for densities of solutions to parabolic equations for measures”, Dokl. Akad. Nauk, 429:5 (2009), 600–604; Dokl. Math., 80:3 (2009), 877–881
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Lower estimates of densities of solutions of elliptic equations for measures”, Dokl. Akad. Nauk, 426:2 (2009), 156–161; Dokl. Math., 79:3 (2009), 329–334
S. V. Shaposhnikov, “On Interior Estimates of the Sobolev Norms of Solutions of Elliptic Equations”, Mat. Zametki, 83:2 (2008), 316–320; Math. Notes, 83:2 (2008), 285–289
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Positive Densities of Transition Probabilities of Diffusion Processes”, Teor. Veroyatnost. i Primenen., 53:2 (2008), 213–239; Theory Probab. Appl., 53:2 (2009), 194–215
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Estimates of densities of stationary distributions and transition probabilities of diffusion processes”, Teor. Veroyatnost. i Primenen., 52:2 (2007), 240–270; Theory Probab. Appl., 52:2 (2008), 209–236
S. V. Shaposhnikov, “On Morrey's estimate of the Sobolev norms of solutions of elliptic equations”, Mat. Zametki, 79:3 (2006), 450–469; Math. Notes, 79:3 (2006), 413–430
V. I. Bogachev, M. Röckner, S. V. Shaposhnikov, “Global regularity and estimates for solutions of parabolic equations”, Teor. Veroyatnost. i Primenen., 50:4 (2005), 652–674; Theory Probab. Appl., 50:4 (2006), 561–581
P. A. Borodin, I. A. Ibragimov, B. S. Kashin, V. V. Kozlov, A. V. Kolesnikov, S. V. Konyagin, E. D. Kosov, O. G. Smolyanov, N. A. Tolmachev, D. V. Treshchev, A. V. Shaposhnikov, S. V. Shaposhnikov, A. N. Shiryaev, A. A. Shkalikov, “Vladimir Igorevich Bogachev (on his 60th birthday)”, Uspekhi Mat. Nauk, 76:6(462) (2021), 201–208; Russian Math. Surveys, 76:6 (2021), 1149–1157