The polar cone of the set of monotone maps

Articolo

Data di Pubblicazione:

2015

Citazione:

The polar cone of the set of monotone maps / F. Cavalletti, M. Westdickenberg. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 143:2(2015), pp. 781-787. [10.1090/S0002-9939-2014-12332-X]

Abstract:

We prove that every element of the polar cone to the closed convex cone of monotone transport maps can be represented as the divergence of a measure field taking values in the positive definite matrices.

Tipologia IRIS:

01 - Articolo su periodico

Keywords:

Optimal transport; Polar cone;

Elenco autori: