Abstract:
For Fokker–Planck–Kolmogorov equations with coefficients depending measurably on a parameter we prove the existence of solutions that are measurable with respect to this parameter.
Keywords:
Fokker–Planck–Kolmogorov equation, measurability with respect to a parameter.
The paper is supported by the Ministry of Science and Higher Education of the Russian Federation within the program of the Moscow Center of Fundamental and Applied Mathematics, agreement no. 075-15-2022-284.
Citation:
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
This publication is cited in the following 1 articles:
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