Higher integrability for minimizers of the Mumford-Shah functional
Analysis of PDEs
2015-06-15 v1
Abstract
We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi.
Keywords
Cite
@article{arxiv.1303.1196,
title = {Higher integrability for minimizers of the Mumford-Shah functional},
author = {Guido De Philippis and Alessio Figalli},
journal= {arXiv preprint arXiv:1303.1196},
year = {2015}
}