Geodesic
Nonlinear Fokker–Planck–Kolmogorov equations in Hilbert spaces
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXVI. Representation theory, dynamical systems, combinatorial methods, Tome 437 (2015), pp. 184-206 
O. A. Manita. Nonlinear Fokker–Planck–Kolmogorov equations in Hilbert spaces. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXVI. Representation theory, dynamical systems, combinatorial methods, Tome 437 (2015), pp. 184-206. http://geodesic.mathdoc.fr/item/ZNSL_2015_437_a8/
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     author = {O. A. Manita},
     title = {Nonlinear {Fokker{\textendash}Planck{\textendash}Kolmogorov} equations in {Hilbert} spaces},
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     pages = {184--206},
     year = {2015},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_437_a8/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We study the Cauchy problem for nonlinear Fokker–Planck–Kolmogorov equations for probability measures on a Hilbert space, corresponding to stochastic partial differential equations. Sufficient conditions for the uniqueness of probability solutions for a cylindrical diffusion operator and for a possibly degenerate diffusion operator are given. A new general existence result is established without explicit growth restrictions on the coefficients.

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