A characterization for solutions of the Monge-Kantorovich mass transport problem
Analysis of PDEs
2014-11-11 v4
Abstract
A measure theoretical approach is presented to study the Monge-Kantorovich optimal mass transport problem. This approach together with Kantorovich duality provide an effective tool to answer a long standing question about the support of optimal plans for the mass transport problem involving general cost functions. We also establish a criterion for the uniqueness.
Keywords
Cite
@article{arxiv.1403.3103,
title = {A characterization for solutions of the Monge-Kantorovich mass transport problem},
author = {Abbas Moameni},
journal= {arXiv preprint arXiv:1403.3103},
year = {2014}
}