Phi-entropy inequalities and Fokker-Planck equationsReport as inadecuate

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1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

Abstract : We present new $\Phi$-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.

Keywords : Logarithmic Sobolev inequality Poincaré inequality $\Phi$-entropies Bakry-Emery criterion diffusion semigroups Fokker-Planck equation

Author: François Bolley - Ivan Gentil -



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