We prove that, for general cost functions on Rn, or for the cost d2/2 on a Riemannian manifold, optimal transport maps between smooth densities are always smooth outside a closed singular set of measure zero. © 2014, IHES and Springer-Verlag Berlin Heidelberg.
Partial regularity for optimal transport maps
De Philippis, Guido;
2015-01-01
Abstract
We prove that, for general cost functions on Rn, or for the cost d2/2 on a Riemannian manifold, optimal transport maps between smooth densities are always smooth outside a closed singular set of measure zero. © 2014, IHES and Springer-Verlag Berlin Heidelberg.File in questo prodotto:
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