English

The regularity theory for the Mumford-Shah functional on the plane

Analysis of PDEs 2025-01-07 v2

Abstract

The aim of these notes is to give a complete self-contained account of the current state of the art in the regularity for planar minimizers and critical points of the Mumford-Shah functional.

Keywords

Cite

@article{arxiv.2308.14660,
  title  = {The regularity theory for the Mumford-Shah functional on the plane},
  author = {Camillo De Lellis and Matteo Focardi},
  journal= {arXiv preprint arXiv:2308.14660},
  year   = {2025}
}