A note on some Poincar\'e inequalities on convex sets by Optimal Transport methods
Analysis of PDEs
2016-01-05 v1 Functional Analysis
Abstract
We show that a class of Poincar\'e-Wirtinger inequalities on bounded convex sets can be obtained by means of the dynamical formulation of Optimal Transport. This is a consequence of a more general result valid for convex sets, possibly unbounded.
Cite
@article{arxiv.1601.00281,
title = {A note on some Poincar\'e inequalities on convex sets by Optimal Transport methods},
author = {Lorenzo Brasco and Filippo Santambrogio},
journal= {arXiv preprint arXiv:1601.00281},
year = {2016}
}
Comments
13 pages