We show that a class of Poincaré-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.

A note on some Poincaré inequalities on convex sets by optimal transport methods

Brasco, Lorenzo
;
2016

Abstract

We show that a class of Poincaré-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.
9783319415369
Poincaré inequalities; Wasserstein distances
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2381889
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