Bakry-Emery meet Villani
Analysis of PDEs
2017-06-28 v2 Mathematical Physics
math.MP
Probability
Abstract
We revisit Villani's approach to the study of hypocoercive diffusion operators by applying a variant of the Bakry-\'Emery machinery. The method relies on a generalized Bakry-\'Emery type criterion that applies to Kolmogorov type operators. Our approach includes as a special case the kinetic Fokker-Planck equation and allows, in that case, to recover hypocoercive estimates first obtained by Villani.
Cite
@article{arxiv.1308.4938,
title = {Bakry-Emery meet Villani},
author = {Fabrice Baudoin},
journal= {arXiv preprint arXiv:1308.4938},
year = {2017}
}
Comments
To appear in Journal of Functional Analysis. Section 3 has been removed. Section 2.6 is taken from arXiv:1602.04177. The preprint arXiv:1602.04177 will be not be published, but only used as lecture notes