On the degeneracy of optimal transportation
Analysis of PDEs
2012-11-28 v1
Abstract
We extend a dimensional upper bound on how much an optimal transport map can degenerate for the quadratic transportation cost, originally due to Caffarelli, to cost functions that satisfy the curvature condition of Ma, Trudinger, and Wang.
Keywords
Cite
@article{arxiv.1211.6227,
title = {On the degeneracy of optimal transportation},
author = {Young-Heon Kim and Jun Kitagawa},
journal= {arXiv preprint arXiv:1211.6227},
year = {2012}
}
Comments
33 pages