Logarithmic Sobolev inequality for diffusion semigroups

Details Logarithmic Sobolev inequality for diffusion semigroups Logarithmic Sobolev inequality for diffusion semigroups

2010-09-17

arxiv.org/abs/1009.3421v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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