Shaposhnikov Stanislav Valer'evich

Publications in Math-Net.Ru

1. On reconstruction of Kolmogorov operators with discontinuous coefficients
   
   Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024),  5–8
2. On dependence of solutions to Fokker–Planck–Kolmogorov equations on their coefficients and initial data
   
   Mat. Zametki, 116:3 (2024),  421–431
3. Khas'minskii's Theorem for the Kolmogorov Equation with Partially Singular Diffusion Matrix
   
   Mat. Zametki, 115:3 (2024),  466–480
4. Noninear Fokker–Planck–Kolmogorov equations
   
   Uspekhi Mat. Nauk, 79:5(479) (2024),  3–60
5. Kolmogorov equations for degenerate Ornstein–Uhlenbeck operators
   
   Sibirsk. Mat. Zh., 65:1 (2024),  27–37
6. The Fokker–Planck–Kolmogorov equation with nonlinear terms of local and types
   
   Algebra i Analiz, 35:5 (2023),  11–38
7. Fokker–Planck–Kolmogorov equations with a parameter
   
   Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023),  21–26
8. Kolmogorov problems on equations for stationary and transition probabilities of diffusion processes
   
   Teor. Veroyatnost. i Primenen., 68:3 (2023),  420–455
9. Applications of Zvonkin's transform to stationary Kolmogorov equations
   
   Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  20–24
10. The superposition principle for Fokker–Planck–Kolmogorov equations with unbounded coefficients
    
    Funktsional. Anal. i Prilozhen., 56:4 (2022),  59–79
11. 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
12. 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
13. On uniqueness of probability solutions of the Fokker-Planck-Kolmogorov equation
    
    Mat. Sb., 212:6 (2021),  3–42
14. The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation
    
    Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020),  22–25
15. Estimates of distances between solutions of Fokker–Planck–Kolmogorov equations with partially degenerate diffusion matrices
    
    Theory Stoch. Process., 23(39):2 (2018),  41–54
16. On the Singularity of Functions and the Quantization of Probability Measures
    
    Mat. Zametki, 102:4 (2017),  628–631
17. Distances between stationary distributions of diffusions and solvability of nonlinear Fokker–Planck–Kolmogorov equations
    
    Teor. Veroyatnost. i Primenen., 62:1 (2017),  16–43
18. The Kantorovich and variation distances between invariant measures of diffusions and nonlinear stationary Fokker–Planck–Kolmogorov equations
    
    Mat. Zametki, 96:5 (2014),  855–863
19. Nonlinear parabolic equations for measures
    
    Algebra i Analiz, 25:1 (2013),  64–93
20. The Fokker–Planck–Kolmogorov equations with a potential and a non-uniformly elliptic diffusion matrix
    
    Tr. Mosk. Mat. Obs., 74:1 (2013),  17–34
21. Regular and qualitative properties of solutions for parabolic equations for measures
    
    Teor. Veroyatnost. i Primenen., 56:2 (2011),  318–350
22. 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
23. Lower estimates for densities of solutions to parabolic equations for measures
    
    Dokl. Akad. Nauk, 429:5 (2009),  600–604
24. Lower estimates of densities of solutions of elliptic equations for measures
    
    Dokl. Akad. Nauk, 426:2 (2009),  156–161
25. On Interior Estimates of the Sobolev Norms of Solutions of Elliptic Equations
    
    Mat. Zametki, 83:2 (2008),  316–320
26. Positive Densities of Transition Probabilities of Diffusion Processes
    
    Teor. Veroyatnost. i Primenen., 53:2 (2008),  213–239
27. Estimates of densities of stationary distributions and transition probabilities of diffusion processes
    
    Teor. Veroyatnost. i Primenen., 52:2 (2007),  240–270
28. On Morrey's estimate of the Sobolev norms of solutions of elliptic equations
    
    Mat. Zametki, 79:3 (2006),  450–469
29. Global regularity and estimates for solutions of parabolic equations
    
    Teor. Veroyatnost. i Primenen., 50:4 (2005),  652–674


30. Vladimir Igorevich Bogachev (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 76:6(462) (2021),  201–208