On uniqueness of solutions to degenerate nonlinear Fokker-Planck Equations in Hilbert spaces

2023/10/13 by Xueru Liu, Xuan Yang, Liu, Xueru +3
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2310.09048

openalex publication_date 2023/10/13 · openalex created_date 2023/10/17 · openalex updated_date 2026/07/28

Abstract

An L²(R^d)-valued stochastic N-interacting particle systems is investigated. Existence and uniqueness of solutions for the degenerate nonlinear Fokker-Planck equation for probability measures that corresponds to the mean field limit equation are derived.

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