Sobolev regularity for optimal transport maps of non-convex planar domains
Analysis of PDEs
2023-06-16 v1
Abstract
We prove a sharp global estimate for potentials of optimal transport maps that take a certain class of non-convex planar domains to convex ones.
Keywords
Cite
@article{arxiv.2306.08139,
title = {Sobolev regularity for optimal transport maps of non-convex planar domains},
author = {Connor Mooney and Arghya Rakshit},
journal= {arXiv preprint arXiv:2306.08139},
year = {2023}
}
Comments
15 pages