Open Access
February 2019 Subexponential decay in kinetic Fokker–Planck equation: Weak hypocoercivity
Shulan Hu, Xinyu Wang
Bernoulli 25(1): 174-188 (February 2019). DOI: 10.3150/17-BEJ982

Abstract

We consider here quantitative convergence to equilibrium for the kinetic Fokker–Planck equation. We present a weak hypocoercivity approach à la Villani, using weak Poincaré inequality, ensuring subexponential convergence to equilibrium in $\mathcal{H}^{1}$ sense or in $L^{2}$ sense.

Citation

Download Citation

Shulan Hu. Xinyu Wang. "Subexponential decay in kinetic Fokker–Planck equation: Weak hypocoercivity." Bernoulli 25 (1) 174 - 188, February 2019. https://doi.org/10.3150/17-BEJ982

Information

Received: 1 June 2015; Revised: 1 March 2017; Published: February 2019
First available in Project Euclid: 12 December 2018

zbMATH: 07007204
MathSciNet: MR3892316
Digital Object Identifier: 10.3150/17-BEJ982

Keywords: Fokker–Planck equation , hypocoercivity , Weak Poincaré inequality

Rights: Copyright © 2019 Bernoulli Society for Mathematical Statistics and Probability

Vol.25 • No. 1 • February 2019
Back to Top