Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

THE FOKKER-PLANCK EQUATION WITH SUBCRITICAL CONFINEMENT FORCE

Abstract : We consider the Fokker-Planck equation with subcritical confinement force field which may not derive from a potential function. We prove the existence of an equilibrium (in the case of a general force) and we establish some (polynomial and stretch exponential) rate of convergence to the equilibrium (depending on the space to which belongs the initial datum). Our results improve similar results established by Toscani, Villani [29] and Röchner , Wang [27]: the force field is more general, the spaces are more general, the rates are sharper.
Complete list of metadata

Cited literature [36 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01241680
Contributor : Stéphane Mischler <>
Submitted on : Thursday, October 8, 2020 - 1:53:38 PM
Last modification on : Friday, April 30, 2021 - 9:52:35 AM

Files

Sous-critique-20.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01241680, version 3
  • ARXIV : 1512.07005

Citation

Otared Kavian, Stéphane Mischler, Mamadou Ndao. THE FOKKER-PLANCK EQUATION WITH SUBCRITICAL CONFINEMENT FORCE. 2016. ⟨hal-01241680v3⟩

Share

Metrics

Record views

147

Files downloads

49