Journal
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
Volume 17, Issue 3, Pages 648-653Publisher
EDP SCIENCES S A
DOI: 10.1051/cocv/2010011
Keywords
Kantorovich potential; optimal transport; regularity
Categories
Funding
- KAM Faible [ANR-07-BLAN-0361]
Ask authors/readers for more resources
We prove that any Kantorovich potential for the cost function c = d(2)/2 on a Riemannian manifold (M, g) is locally semiconvex in the region of interest, without any compactness assumption on M, nor any assumption on its curvature. Such a region of interest is of full mu-measure as soon as the starting measure mu does not charge n - 1-dimensional rectifiable sets.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
