Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality-Reference-Cited by-同舟云学术

Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality

Published:2000-06 Issue:2 Volume:173 Page:361-400
ISSN:0022-1236
Container-title:Journal of Functional Analysis
language:en
Short-container-title:Journal of Functional Analysis

Author:

Otto F.,Villani C.

Publisher

Elsevier BV

Subject

Analysis

Reference31 articles.

1. A. Arnold, P. Markowich, G. Toscani, and, A. Unterreiter, On logarithmic Sobolev inequalities, and the rate of convergence to equilibrium for Fokker–Planck type equations, Comm. Partial Differential Equations, to appear.

2. Topological Methods in Hydrodynamics;Arnold,1998

3. Diffusions hypercontractives;Bakry,1985

4. A numerical method for the optimal time-continuous mass transport problem and related problems;Benamou,1999

5. Exponential integrability and transportation cost related to logarithmic sobolev inequalities;Bobkov;J. Funct. Anal.,1999

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