Fokker–Planck–Kolmogorov equations with a partially degenerate diffusion matrix


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The Fokker–Planck–Kolmogorov equations with a degenerate or partially degenerate diffusion matrix are considered. The distance between probability solutions of these equations with different drift coefficients and different initial conditions is estimated. Sufficient conditions for the existence and uniqueness of probability solutions to nonlinear Fokker–Planck–Kolmogorov equations with a partially degenerate diffusion matrix are established.

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S. Shaposhnikov

Department of Mechanics and Mathematics; National Research University Higher School of Economics

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俄罗斯联邦, Moscow; Moscow

O. Manita

Department of Mechanics and Mathematics

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俄罗斯联邦, Moscow

M. Romanov

Department of Mechanics and Mathematics

Email: starticle@mail.ru
俄罗斯联邦, Moscow

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