A parabolic flow toward solutions of the optimal transportation problem on domains with boundary
Analysis of PDEs
2010-12-15 v3
Abstract
We consider a parabolic version of the mass transport problem, and show that it converges to a solution of the original mass transport problem under suitable conditions on the cost function, and initial and target domains.
Cite
@article{arxiv.1007.4526,
title = {A parabolic flow toward solutions of the optimal transportation problem on domains with boundary},
author = {Jun Kitagawa},
journal= {arXiv preprint arXiv:1007.4526},
year = {2010}
}
Comments
32 pages, minor typos fixed, "strictly c-convex" changed to "locally, uniformly c-convex." To appear in J. Reine Angew. Math