On Convergence to Stationary Distributions for Solutions of Nonlinear Fokker–Planck–Kolmogorov Equations


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Abstract

We obtain conditions under which solutions to a nonlinear Fokker–Planck–Kolmogorov equation with the diffusion matrix depending on the solution converge to the stationary solution.

About the authors

V. I. Bogachev

Moscow State University; National University Higher School of Economics

Author for correspondence.
Email: vibogach@mail.ru
Russian Federation, Moscow, 119991; 20, Myasnitskaya St., Moscow, 101000

M. Röckner

Universität Bielefeld

Email: vibogach@mail.ru
Germany, Bielefeld, 33501

S. V. Shaposhnikov

Moscow State University; National University Higher School of Economics

Email: vibogach@mail.ru
Russian Federation, Moscow, 119991; 20, Myasnitskaya St., Moscow, 101000

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