Nonlinear Fokker–Planck–Kolmogorov Equations in Hilbert Spaces

被引：0

作者：

Manita O.A. ^{[1
]}

机构：

[1] Moscow State University, Moscow

来源：

Journal of Mathematical Sciences | 2016年 / 216卷 / 1期

关键词：

Probability Measure; Cauchy Problem; Borel Probability Measure; Drift Term; Probability Solution;

D O I：

10.1007/s10958-016-2891-1

中图分类号：

学科分类号：

摘要：

We study the Cauchy problem for the nonlinear Fokker–Planck–Kolmogorov equations for probability measures on a Hilbert space that corresponds 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. © 2016, Springer Science+Business Media New York.

引用

页码：120 / 135

页数：15

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