Stability of optimal traffic plans in the irrigation problem
Analysis of PDEs
2020-03-27 v1 Classical Analysis and ODEs
Optimization and Control
Abstract
We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This is the Lagrangian counterpart of the recent Eulerian version proved in [CDM19a].
Keywords
Cite
@article{arxiv.2003.11793,
title = {Stability of optimal traffic plans in the irrigation problem},
author = {Maria Colombo and Antonio de Rosa and Andrea Marchese and Paul Pegon and Antoine Prouff},
journal= {arXiv preprint arXiv:2003.11793},
year = {2020}
}