Prohibiting isolated singularities in optimal transport
Analysis of PDEs
2014-10-09 v2
Abstract
We give natural topological conditions on the support of the target measure under which solutions to the optimal transport problem with cost function satisfying the (weak) Ma, Trudinger, and Wang condition cannot have any isolated singular points.
Cite
@article{arxiv.1404.1090,
title = {Prohibiting isolated singularities in optimal transport},
author = {Young-Heon Kim and Jun Kitagawa},
journal= {arXiv preprint arXiv:1404.1090},
year = {2014}
}
Comments
10 pages, minor correction in proof of Lemma 3.3