Hölder Continuity for Optimal Multivalued Mappings
نویسندگان
چکیده
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 Hölder continuity of the bivalent map optimizing average distance squared between arbitrary measures supported on Euclidean spheres.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 43 شماره
صفحات -
تاریخ انتشار 2011