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arXiv · 1308.4938

Bakry-Emery meet Villani

Fabrice Baudoin
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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.

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Fabrice Baudoin. 2013-08-22. Bakry-Emery meet Villani. https://arxiv.org/abs/1308.4938

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