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Nonlinear Fokker-Planck-Kolmogorov equations

Vladimir Igorevich Bogachev, Stanislav Valer'evich Shaposhnikov

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Source: Crossref

Published: Jan 1, 2024

DOI: 10.4213/rm10202e

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Source abstract

This paper gives a survey of recent investigations on nonlinear Fokker-Planck-Kolmogorov equations of elliptic and parabolic types and contains a number of new results. We discuss in detail the problems of existence and uniqueness of solutions, various estimates of solutions, connections with linear equations, and the convergence of solutions of parabolic equations to stationary solutions. Bibliography: 116 items.

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Nonlinear Fokker-Planck-Kolmogorov equations — Mathematical Frontier Network