Bogachev, V. I.; Shaposhnikov, S. V. Fokker-Planck-Kolmogorov equations with a parameter. (English. Russian original) Zbl 07812315 Dokl. Math. 108, No. 2, 357-362 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 21-26 (2023). MSC: 35Q84 35A01 28A05 35R06 35R60 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{S. V. Shaposhnikov}, Dokl. Math. 108, No. 2, 357--362 (2023; Zbl 07812315); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 21--26 (2023) Full Text: DOI
Bogachev, V. I.; Krasovitskii, T. I.; Shaposhnikov, S. V. On nonuniqueness of probability solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equation. (English. Russian original) Zbl 1483.35274 Dokl. Math. 103, No. 3, 108-112 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 16-20 (2021). MSC: 35Q84 35A02 35R60 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 103, No. 3, 108--112 (2021; Zbl 1483.35274); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 16--20 (2021) Full Text: DOI
Bogachev, V. I.; Krasovitskii, T. I.; Shaposhnikov, S. V. The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation. (English. Russian original) Zbl 1477.35001 Dokl. Math. 102, No. 3, 464-467 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 22-25 (2020). MSC: 35A02 35K10 35Q84 35R06 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 102, No. 3, 464--467 (2020; Zbl 1477.35001); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 22--25 (2020) Full Text: DOI
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. On the superposition principle for Fokker-Planck-Kolmogorov equations. (English. Russian original) Zbl 1433.35407 Dokl. Math. 100, No. 1, 363-366 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 5, 483-486 (2019). MSC: 35Q84 35R60 60H15 35R06 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 100, No. 1, 363--366 (2019; Zbl 1433.35407); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 5, 483--486 (2019) Full Text: DOI
Bogachev, V. I.; Miftakhov, A. F.; Shaposhnikov, S. V. Differential properties of semigroups and estimates of distances between stationary distributions of diffusions. (English. Russian original) Zbl 1478.60216 Dokl. Math. 99, No. 2, 175-180 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 4, 399-404 (2019). MSC: 60J60 35Q84 47D07 35K55 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 99, No. 2, 175--180 (2019; Zbl 1478.60216); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 4, 399--404 (2019) Full Text: DOI
Bogachev, V. I.; Shaposhnikov, A. V.; Shaposhnikov, S. V. Estimates for solutions to Fokker-Planck-Kolmogorov equations with integrable drifts. (English. Russian original) Zbl 1409.35039 Dokl. Math. 98, No. 3, 559-563 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 2, 125-129 (2018). MSC: 35B45 35Q84 35R60 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 98, No. 3, 559--563 (2018; Zbl 1409.35039); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 2, 125--129 (2018) Full Text: DOI
Bogachev, V. I.; Popova, S. N.; Shaposhnikov, S. V. On Sobolev classes containing solutions to Fokker-Planck-Kolmogorov equations. (English. Russian original) Zbl 1410.35243 Dokl. Math. 98, No. 2, 498-501 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 6, 631-634 (2018). MSC: 35Q84 35R11 82C31 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 98, No. 2, 498--501 (2018; Zbl 1410.35243); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 6, 631--634 (2018) Full Text: DOI
Bogachev, V. I.; Krasovitskii, T. I.; Shaposhnikov, S. V. On non-uniqueness of probability solutions to the two-dimensional stationary Fokker-Planck-Kolmogorov equation. (English. Russian original) Zbl 1433.35406 Dokl. Math. 98, No. 2, 475-479 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 5, 489-493 (2018). MSC: 35Q84 35R60 35A02 82C31 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 98, No. 2, 475--479 (2018; Zbl 1433.35406); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 5, 489--493 (2018) Full Text: DOI
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. Convergence to stationary measures in nonlinear Fokker-Planck-Kolmogorov equations. (English. Russian original) Zbl 1414.35227 Dokl. Math. 98, No. 2, 452-457 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 4, 369-374 (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q84 82C31 35B20 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 98, No. 2, 452--457 (2018; Zbl 1414.35227); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 4, 369--374 (2018) Full Text: DOI
Bogachev, V. I.; Shaposhnikov, S. V. Integrability and continuity of solutions to Fokker-Planck-Kolmogorov equations. (English) Zbl 1390.35361 Dokl. Math. 96, No. 3, 583-586 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 4, 393-397 (2017). MSC: 35Q84 82C31 PDFBibTeX XMLCite \textit{V. I. Bogachev} and \textit{S. V. Shaposhnikov}, Dokl. Math. 96, No. 3, 583--586 (2017; Zbl 1390.35361); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 4, 393--397 (2017) Full Text: DOI
Manita, O. A.; Romanov, M. S.; Shaposhnikov, S. V. Fokker-Planck-Kolmogorov equations with a partially degenerate diffusion matrix. (English, Russian) Zbl 1516.35416 Dokl. Math. 96, No. 1, 384-388 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 609-613 (2016). MSC: 35Q84 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{O. A. Manita} et al., Dokl. Math. 96, No. 1, 384--388 (2017; Zbl 1516.35416); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 609--613 (2016) Full Text: DOI
Chechkin, A. G.; Shamaev, A. S. On the fundamental solution of the Fokker-Planck-Kolmogorov equation. (English. Russian original) Zbl 1372.35303 Dokl. Math. 95, No. 1, 55-59 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 4, 383-387 (2017). MSC: 35Q84 35K10 35C05 82C31 PDFBibTeX XMLCite \textit{A. G. Chechkin} and \textit{A. S. Shamaev}, Dokl. Math. 95, No. 1, 55--59 (2017; Zbl 1372.35303); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 4, 383--387 (2017) Full Text: DOI
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. Estimates of distances between transition probabilities of diffusions. (English. Russian original) Zbl 1343.60120 Dokl. Math. 93, No. 2, 135-139 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 1, 13-17 (2016). MSC: 60J60 60H30 35Q84 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 93, No. 2, 135--139 (2016; Zbl 1343.60120); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 1, 13--17 (2016) Full Text: DOI
Rudenko, O. V. Nonlinear oscillators with “modulus” potentials: dynamic and stochastic solutions. (English. Russian original) Zbl 1333.34058 Dokl. Math. 92, No. 2, 614-617 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 2, 148-151 (2015). MSC: 34C15 34F05 PDFBibTeX XMLCite \textit{O. V. Rudenko}, Dokl. Math. 92, No. 2, 614--617 (2015; Zbl 1333.34058); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 2, 148--151 (2015) Full Text: DOI
Manita, O. A.; Romanov, M. S.; Shaposhnikov, S. V. Uniqueness of probability solutions to nonlinear Fokker-Planck-Kolmogorov equation. (English. Russian original) Zbl 1326.60097 Dokl. Math. 91, No. 2, 142-146 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 1, 18-22 (2015). MSC: 60H30 35Q84 PDFBibTeX XMLCite \textit{O. A. Manita} et al., Dokl. Math. 91, No. 2, 142--146 (2015; Zbl 1326.60097); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 1, 18--22 (2015) Full Text: DOI
Bogachev, V. I.; Veretennikov, A. Yu.; Shaposhnikov, S. V. Differentiability of invariant measures of diffusions with respect to a parameter. (English. Russian original) Zbl 1325.35226 Dokl. Math. 91, No. 1, 76-79 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 5, 507-511 (2015). MSC: 35Q84 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 91, No. 1, 76--79 (2015; Zbl 1325.35226); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 5, 507--511 (2015) Full Text: DOI
Manita, O. A.; Shaposhnikov, S. V. Fokker-Planck-Kolmogorov equations with a potential term on a domain. (English. Russian original) Zbl 1325.35228 Dokl. Math. 91, No. 1, 26-29 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 2, 136-139 (2015). MSC: 35Q84 PDFBibTeX XMLCite \textit{O. A. Manita} and \textit{S. V. Shaposhnikov}, Dokl. Math. 91, No. 1, 26--29 (2015; Zbl 1325.35228); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 2, 136--139 (2015) Full Text: DOI
Bogachev, V. I.; Kirillov, A. I.; Shaposhnikov, S. V. A stationary Fokker-Planck-Kolmogorov equation with a potential. (English) Zbl 1297.35240 Dokl. Math. 89, No. 1, 24-29 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 2, 131-136 (2014). MSC: 35Q84 82C31 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 89, No. 1, 24--29 (2014; Zbl 1297.35240); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 2, 131--136 (2014) Full Text: DOI
Bogachev, V. I.; Röckner, M.; Shaposhnikov, S. V. On positive and probability solutions to the stationary Fokker-Planck-Kolmogorov equation. (English. Russian original) Zbl 1266.60111 Dokl. Math. 85, No. 3, 350-354 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 3, 245-249 (2012). Reviewer: Andrew Dale (Durban) MSC: 60H15 82C31 PDFBibTeX XMLCite \textit{V. I. Bogachev} et al., Dokl. Math. 85, No. 3, 350--354 (2012; Zbl 1266.60111); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 3, 245--249 (2012) Full Text: DOI
Shaposhnikov, S. V. On the uniqueness of integrable and probability solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equations. (English. Russian original) Zbl 1235.35274 Dokl. Math. 84, No. 1, 565-570 (2011); translation from Dokl. Akad. Nauk 439, No. 3, 323-328 (2011). Reviewer: Stephen Wollmann (New York) MSC: 35Q84 82C31 35A02 PDFBibTeX XMLCite \textit{S. V. Shaposhnikov}, Dokl. Math. 84, No. 1, 565--570 (2011; Zbl 1235.35274); translation from Dokl. Akad. Nauk 439, No. 3, 323--328 (2011) Full Text: DOI
Dubinskii, Yu. A. Hardy inequalities with exceptional parameter values and applications. (English. Russian original) Zbl 1185.26042 Dokl. Math. 80, No. 1, 558-562 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 5, 586-590 (2009). Reviewer: Stamatis Koumandos (Nicosia) MSC: 26D15 26D10 35A23 35Q05 35Q84 PDFBibTeX XMLCite \textit{Yu. A. Dubinskii}, Dokl. Math. 80, No. 1, 558--562 (2009; Zbl 1185.26042); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 5, 586--590 (2009) Full Text: DOI