From Poincaré to Logarithmic Sobolev Inequalities: A Gradient Flow Approach

DOI10.1137/110835190zbMath1264.26011arXiv1105.4511OpenAlexW2949254205MaRDI QIDQ4907540

Giuseppe Savaré, Jean Dolbeault, Bruno Nazaret

Publication date: 4 February 2013

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4511

zbMATH Keywords

entropygradient flowsWasserstein distancesKolmogorov-Fokker-Planck equationgeneralized Poincaré inequalityTalagrand estimate

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Geodesic flows in symplectic geometry and contact geometry (53D25) Inequalities involving derivatives and differential and integral operators (26D10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Systems of functional equations and inequalities (39B72)

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