English

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

Analysis of PDEs 2024-04-11 v1

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.

Keywords

Cite

@article{arxiv.2404.07162,
  title  = {Boundary regularity for the Mumford-Shah functional with Dirichlet boundary conditions},
  author = {Francesco Deangelis},
  journal= {arXiv preprint arXiv:2404.07162},
  year   = {2024}
}