|Table of Contents|

Several Results About Existence and Uniqueness of Optimal Mapsin Transportation Problems：a Unified Scheme Proof(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2015年04期
Page:
82-
Research Field:
数学
Publishing date:

Info

Title:
Several Results About Existence and Uniqueness of Optimal Mapsin Transportation Problems：a Unified Scheme Proof
Author(s):
Chen Ping
School of Mathematics and Information Technology，Jiangsu Second Normal University，Nanjing 210013，China
Keywords:
convex cone; Brenier’s theorem; optimal transportation
PACS:
O174.12
DOI:
-
Abstract:
Based on measure theories and convex cones，we give a unified and concise theorem which proves existence and uniqueness of optimal transport maps. Some interested results can be seen as corollaries of this unified theorem，such as the Brenier’s theorem and some Monge’s problems with cost functions coming from far field re?ector problems and refraction problems.

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Memo

Memo:
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Last Update: 2015-12-30