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arXiv · 1009.3421

Logarithmic Sobolev inequality for diffusion semigroups

Ivan Gentil
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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 Poincaré or logarithmic Sobolev inequalities. Moreover an alternative method using the optimal mass transportation, is also given to obtain the logarithmic Sobolev inequality.

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Ivan Gentil. 2010-09-17. Logarithmic Sobolev inequality for diffusion semigroups. https://arxiv.org/abs/1009.3421

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