| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5772451 | Journal of Functional Analysis | 2017 | 30 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Stanislav Kondratyev, Léonard Monsaingeon, Dmitry Vorotnikov,