A Modica-Mortola approximation for the Steiner Problem
Analysis of PDEs
2013-11-14 v1
Abstract
In this note we present a way to approximate the Steiner problem by a family of elliptic energies of Modica-Mortola type, with an additional term relying on the weighted geodesic distance which takes care of the connexity constraint.
Cite
@article{arxiv.1311.3079,
title = {A Modica-Mortola approximation for the Steiner Problem},
author = {Antoine Lemenant and Filippo Santambrogio},
journal= {arXiv preprint arXiv:1311.3079},
year = {2013}
}
Comments
short note