Higher order regularity of nonlinear Fokker-Planck PDEs with respect to the measure component
type: Item
instance of: scholarly article
title: Higher order regularity of nonlinear Fokker-Planck PDEs with respect to the measure component
zbMATH Open document ID: 1465.35093
author: Alvin Tse
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2021-05-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/1906.09839
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35Q84
Mathematics Subject Classification ID: 35R06
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 65C35
zbMATH DE Number: 7351616
zbMATH Keywords: Fokker-Planck PDEs
zbMATH Keywords: linear functional derivatives
zbMATH Keywords: propagation of chaos
Wikidata QID: Q114148627
MaRDI profile type: Publication
OpenAlex ID: W3154454540
arXiv ID: 1906.09839
cites work: Fokker–Planck–Kolmogorov Equations
cites work: From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE
cites work: The Master Equation and the Convergence Problem in Mean Field Games
cites work: Probabilistic Theory of Mean Field Games with Applications I
cites work: Q3358031
cites work: A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
cites work: On the McKean-Vlasov Limit for Interacting Diffusions
cites work: Q4895007
cites work: On conditional McKean Lagrangian stochastic models
cites work: Propagation of chaos for the Landau equation with moderately soft potentials
cites work: On a strong form of propagation of chaos for McKean-Vlasov equations
cites work: Kac's program in kinetic theory
cites work: Strong well posedness of McKean-Vlasov stochastic differential equations with hölder drift
cites work: Mean-field stochastic differential equations and associated PDEs
cites work: Stability of a 4th-order curvature condition arising in optimal transport theory
cites work: Dynamical aspects of mean field plane rotators and the Kuramoto model
cites work: Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation
cites work: Quantitative concentration inequalities for empirical measures on non-compact spaces
cites work: Probabilistic approach for granular media equations in the non-uniformly convex case
cites work: Logarithmic Sobolev inequalities for some nonlinear PDE's.
cites work: Q5562267
cites work: Weak existence and uniqueness for forward-backward SDEs
cites work: Q3995203
cites work: Q5520962
cites work: Geometric theory of semilinear parabolic equations
DOI: 10.1016/J.MATPUR.2021.04.005
description: scientific article