On the well-posedness of branched transportation
Analysis of PDEs
2019-11-25 v1
Abstract
We show in full generality the stability of optimal traffic paths in branched transport: namely we prove that any limit of optimal traffic paths is optimal as well. This solves an open problem in the field (cf. Open problem 1 in the book Optimal transportation networks, by Bernot, Caselles and Morel), which has been addressed up to now only under restrictive assumptions.
Keywords
Cite
@article{arxiv.1904.03683,
title = {On the well-posedness of branched transportation},
author = {Maria Colombo and Antonio De Rosa and Andrea Marchese},
journal= {arXiv preprint arXiv:1904.03683},
year = {2019}
}