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arXiv:1105.4511 [math.AP]AbstractReferencesReviewsResources

From Poincaré to logarithmic Sobolev inequalities: a gradient flow approach

Jean Dolbeault, Bruno Nazaret, Giuseppe Savaré

Published 2011-05-23Version 1

We use the distances introduced in a previous joint paper to exhibit the gradient flow structure of some drift-diffusion equations for a wide class of entropy functionals. Functional inequalities obtained by the comparison of the entropy with the entropy production functional reflect the contraction properties of the flow. Our approach provides a unified framework for the study of the Kolmogorov-Fokker-Planck (KFP) equation.

Journal: SIAM J. Math. Anal. 44, 5 (2012) 3186-3216
Categories: math.AP
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