Logarithmic Sobolev inequality for diffusion semigroups
Classical Analysis and ODEs
2010-09-20 v1 Analysis of PDEs
Differential Geometry
Probability
Abstract
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar\'e or logarithmic Sobolev inequalities. Moreover an alternative method using the optimal mass transportation, is also given to obtain the logarithmic Sobolev inequality.
Cite
@article{arxiv.1009.3421,
title = {Logarithmic Sobolev inequality for diffusion semigroups},
author = {Ivan Gentil},
journal= {arXiv preprint arXiv:1009.3421},
year = {2010}
}