Global regularity of optimal mappings in non-convex domains
Analysis of PDEs
2019-01-30 v1
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.
Keywords
Cite
@article{arxiv.1901.10215,
title = {Global regularity of optimal mappings in non-convex domains},
author = {Shibing Chen and Jiakun Liu and Xu-Jia Wang},
journal= {arXiv preprint arXiv:1901.10215},
year = {2019}
}
Comments
accepted for publication in SCIENCE CHINA Mathematics