Regularity for a log-concave to log-concave mass transfer problem with near Euclidean cost
Analysis of PDEs
2010-07-23 v1
Abstract
If the cost function is not too far from the Euclidean cost, then the optimal map transporting Gaussians restricted to a ball will be regular. \ Similarly, given any cost function which is smooth in a neighborhood of two points on a manifold, there are small neighborhoods near each such that a Gaussian restricted to one is transported smoothly to a Gaussian on the other
Cite
@article{arxiv.1007.3890,
title = {Regularity for a log-concave to log-concave mass transfer problem with near Euclidean cost},
author = {Micah Warren},
journal= {arXiv preprint arXiv:1007.3890},
year = {2010}
}
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12 pages