Perimeter as relaxed Minkowski content in metric measure spaces
Metric Geometry
2016-03-29 v1 Functional Analysis
Abstract
In this note we prove that on general metric measure spaces the perimeter is equal to the relaxation of the Minkowski content w.r.t.\ convergence in measure
Cite
@article{arxiv.1603.08412,
title = {Perimeter as relaxed Minkowski content in metric measure spaces},
author = {Luigi Ambrosio and Nicola Gigli and Simone Di Marino},
journal= {arXiv preprint arXiv:1603.08412},
year = {2016}
}