The polar cone of the set of monontone maps

created by cavallett on 20 Aug 2013

[BibTeX]

Accepted Paper

Inserted: 20 aug 2013
Last Updated: 20 aug 2013

Journal: Proc. AMS
Year: 2013

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.