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

2024/04/10 by Francesco Deangelis, Deangelis, Francesco
Computer Science · Mathematics · #49N60 #49Q20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2404.07162

openalex publication_date 2024/04/10 · openalex created_date 2024/04/12 · openalex updated_date 2026/07/28

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.

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