Global regularity of optimal mappings in non-convex domains

Authors

Shibing Chen, University of Electronic Science and Technology of China
Jiakun Liu, University of WollongongFollow
Xu-Jia Wang, Australian National University

RIS ID

134041

Publication Details

Chen, S., Liu, J. & Wang, X. (2019). Global regularity of optimal mappings in non-convex domains. Science China Mathematics, 62 (11), 2057-2072.

Abstract

In this paper, we establish a global regularity result for the optimal transport problem with the quadratic cost, where the domains may not be convex. This result is obtained by a perturbation argument, using a recent global regularity of optimal transportation in convex domains by the authors.

Grant Number

ARC/DP170100929