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https://hdl.handle.net/10316/43804| 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. | URI: | https://hdl.handle.net/10316/43804 | DOI: | 10.1016/j.jfa.2016.12.018 10.1016/j.jfa.2016.12.018 |
Rights: | embargoedAccess |
| Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| a-new-multicomponent.pdf | 248.19 kB | Adobe PDF | View/Open |
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