Functional Inequalities for Markov semigroups
Bakry, Dominique
HAL, hal-00353724 / Harvested from HAL
Text on HAL
In these notes, we describe some of the most interesting inequalities related to Markov semigroups, namely spectral gap inequalities, Logarithmic Sobolev inequalities and Sobolev inequalities. We show different aspects of their meanings and applications, and then describe some tools used to establish them in various situations.
Publié le : 2004-07-05
Classification:  Markov semigroups,  Logarithmic Sobolev inequalities,  evolution equations,  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA],  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00353724,
     author = {Bakry, Dominique},
     title = {Functional Inequalities for Markov semigroups},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00353724}
}

Bakry, Dominique. Functional Inequalities for Markov semigroups. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00353724/