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arXiv · 1901.10215

Global regularity of optimal mappings in non-convex domains

Shibing Chen·Jiakun Liu·Xu-Jia Wang
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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.

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Shibing Chen, Jiakun Liu, Xu-Jia Wang. 2019-01-29. Global regularity of optimal mappings in non-convex domains. https://arxiv.org/abs/1901.10215

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