cvgmt: Boundary regularity for the Mumford-Shah functional with Dirichlet boundary conditions

Calculus of Variations and Geometric Measure Theory

F. Deangelis

Boundary regularity for the Mumford-Shah functional with Dirichlet boundary conditions

created by deangelis on 30 Apr 2025

[BibTeX]

preprint

Inserted: 30 apr 2025

Year: 2024

Abstract:

In this paper we consider minimizers of the Mumford-Shah functional with Dirichlet boundary conditions. We study blow-ups at the boundary and prove an epsilon-regularity theorem.