Phi-entropy inequalities and Fokker-Planck equations

DOI10.1142/9789814313179_0060zbMATH Open1285.47046arXiv1002.4478OpenAlexW2964011266MaRDI QIDQ4919477

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Publication date: 14 May 2013

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1002.4478

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