HOLDER CONTINUITY FOR OPTIMAL MULTIVALUED MAPPINGS

被引：10
|
作者：
McCann, R. J. [1 ]
Sosio, M. [2 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
[2] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2011年 / 43卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Monge-Kantorovich; optimal transport; regularity; Holder continuity; multivalued maps; coupled Monge-Ampere; hypersurfaces; spheres; MONGE-AMPERE EQUATION; BOUNDARY-VALUE PROBLEM; OPTIMAL TRANSPORTATION; REFLECTOR ANTENNA; CONVEX POTENTIALS; REGULARITY; MAPS; REARRANGEMENT; DESIGN;
D O I：
10.1137/100802670
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 Holder continuity of the bivalent map optimizing average distance squared between arbitrary measures supported on Euclidean spheres.
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页码：1855 / 1871
页数：17
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