A Modica-Mortola approximation for branched transport
Optimization and Control
2009-09-17 v1
Abstract
The M^\alpha energy which is usually minimized in branched transport problems among singular 1-dimensional rectifiable vector measures with prescribed divergence is approximated (and convergence is proved) by means of a sequence of elliptic energies, defined on more regular vector fields. The procedure recalls the Modica-Mortola one for approximating the perimeter, and the double-well potential is replaced by a concave power.
Keywords
Cite
@article{arxiv.0909.2930,
title = {A Modica-Mortola approximation for branched transport},
author = {Filippo Santambrogio},
journal= {arXiv preprint arXiv:0909.2930},
year = {2009}
}