On the Superposition Principle for Fokker–Planck–Kolmogorov Equations


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Abstract—A generalization of the superposition principle for probability solutions to the Cauchy problem for the Fokker–Planck–Kolmogorov equation is given, according to which such a solution is generated by a solution to the corresponding martingale problem.

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V. Bogachev

Faculty of Mechanics and Mathematics,
Moscow State University; National Research University Higher School of Economics; St.-Tikhon’s Orthodox University

编辑信件的主要联系方式.
Email: vibogach@mail.ru
俄罗斯联邦, Moscow, 119991; Moscow, 101000; Moscow, 115184

M. Röckner

Bielefeld University

Email: vibogach@mail.ru
德国, Bielefeld, D-33501

S. Shaposhnikov

Faculty of Mechanics and Mathematics,
Moscow State University; National Research University Higher School of Economics

Email: vibogach@mail.ru
俄罗斯联邦, Moscow, 119991; Moscow, 101000

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