Calculus of Variations and Geometric Measure Theory

C. De Lellis - M. Focardi - S. Ghinassi

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

created by focardi on 13 Oct 2020
modified by delellis on 16 Oct 2021


Accepted Paper

Inserted: 13 oct 2020
Last Updated: 16 oct 2021

Journal: J. Math. Pures Appl.
Year: 2020

ArXiv: 2010.04888 PDF
Links: Errata


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