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Fokker–Planck–Kolmogorov Equations with a Parameter

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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.

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Funding

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. S.V. Shaposhnikov is a winner of the contest “The Young Mathematics of Russia” and thanks its jury and sponsors.

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Correspondence to V. I. Bogachev.

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Bogachev, V.I., Shaposhnikov, S.V. Fokker–Planck–Kolmogorov Equations with a Parameter. Dokl. Math. 108, 357–362 (2023). https://doi.org/10.1134/S1064562423600471

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  • DOI: https://doi.org/10.1134/S1064562423600471

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