Phi-entropy inequalities and Fokker-Planck equations
Probability
2013-09-19 v1
Abstract
We present new -entropy inequalities for diffusion semigroups under the curvature-dimension criterion. They include the isoperimetric function of the Gaussian measure. Applications to the long time behaviour of solutions to Fokker-Planck equations are given.
Cite
@article{arxiv.1002.4478,
title = {Phi-entropy inequalities and Fokker-Planck equations},
author = {François Bolley and Ivan Gentil},
journal= {arXiv preprint arXiv:1002.4478},
year = {2013}
}