H\"older continuity for optimal multivalued mappings
Analysis of PDEs
2010-07-21 v1 Optimization and Control
Abstract
Gangbo and McCann showed that optimal transportation between hypersurfaces generally leads to multivalued optimal maps - bivalent when the target surface is strictly convex. In this paper we quantify H\"older continuity of the bivalent map optimizing average distance squared between arbitrary measures supported on Euclidean spheres.
Keywords
Cite
@article{arxiv.1007.3395,
title = {H\"older continuity for optimal multivalued mappings},
author = {Robert J. McCann and Maria Sosio},
journal= {arXiv preprint arXiv:1007.3395},
year = {2010}
}
Comments
21 pages