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Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts

This book delves into a rigorous mathematical exploration of the well-posedness and long-time behavior of weak solutions to nonlinear Fokker-Planck equations, along with their implications in the theory of probabilistically weak solutions to McKean-Vlasov stochastic differential equations and the co...

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Bibliographic Details
Main Authors: Barbu, Viorel (Author), Röckner, Michael (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Edition:1st ed. 2024.
Series:Lecture Notes in Mathematics, 2353
Subjects:
Mathematical physics.
Differential equations.
Stochastic analysis.
Mathematical Physics.
Differential Equations.
Stochastic Analysis.
Online Access:https://doi.org/10.1007/978-3-031-61734-8
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Table of Contents:
  • - Introduction
  • Existence of nonlinear Fokker–Planck flows
  • Time dependent Fokker–Planck equations
  • Convergence to equilibrium of nonlinear Fokker–Planck flows
  • Markov processes associated with nonlinear Fokker–Planck equations
  • Appendix.

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