Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of\n Andersson and Mikayelyan

2020/10/09 by Camillo De Lellis, De Lellis, Camillo, Matteo Focardi +3
Computer Science · Engineering · Mathematics · #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #Elasticity and Material Modeling #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2010.04888

openalex publication_date 2020/10/09 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We give an alternative proof of the regularity, up to the loose end, of\nminimizers, resp. critical points of the Mumford-Shah functional when they are\nsufficiently close to the cracktip, resp. they consist of a single arc\nterminating at an interior point.\n

Related

• Endpoint regularity of 2d Mumford-Shah minimizers
• The regularity theory for the Mumford-Shah functional on the plane
• Regularity up to the Crack-Tip for the Mumford-Shah problem
• Stable regular critical points of the Mumford-Shah functional are local minimizers
• A growth estimate for the planar Mumford--Shah minimizers at a tip point: An alternative proof of David--Léger