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Title: A new multicomponent Poincaré–Beckner inequality
Authors: Kondratyev, Stanislav 
Monsaingeon, Léonard 
Vorotnikov, Dmitry 
Issue Date: 2017
Publisher: Elsevier
Project: info:eu-repo/grantAgreement/FCT/5876/147205/PT 
Serial title, monograph or event: Journal of Functional Analysis
Volume: 272
Issue: 8
Abstract: We prove a new vectorial functional inequality of Poincaré–Beckner type. The inequality may be interpreted as an entropy–entropy production one for a gradient flow in the metric space of Radon measures. The proof uses subtle analysis of combinations of related super- and sub-level sets employing the coarea formula and the relative isoperimetric inequality.
Other Identifiers: 10.1016/j.jfa.2016.12.018
DOI: 10.1016/j.jfa.2016.12.018
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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