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

2023/08/28 by De Lellis, Camillo, Focardi, Matteo · 1 citation
#49N60 #49Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.14660

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.

Cited by

• Finite number of traces for Mumford-Shah minimizers in dimension 2

Related

• Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of\n Andersson and Mikayelyan
• Stable regular critical points of the Mumford-Shah functional are local minimizers
• Regularity up to the Crack-Tip for the Mumford-Shah problem
• Boundary regularity for the Mumford-Shah functional with Dirichlet boundary conditions
• Fine regularity results for Mumford-Shah minimizers: porosity, higher integrability and the Mumford-Shah conjecture