Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772392 | Journal of Functional Analysis | 2017 | 17 Pages |
Abstract
We revisit Villani's approach to the study of hypocoercive diffusion operators by applying a variant of the Bakry-Ãmery machinery. The method relies on a generalized Bakry-Ãmery 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 and somehow improve hypocoercive estimates first obtained by Villani.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Fabrice Baudoin,