{
  "id": "2404.07162",
  "version": "v1",
  "published": "2024-04-10T16:55:35.000Z",
  "updated": "2024-04-10T16:55:35.000Z",
  "title": "Boundary regularity for the Mumford-Shah functional with Dirichlet boundary conditions",
  "authors": [
    "Francesco Deangelis"
  ],
  "categories": [
    "math.AP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-10T16:55:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q20",
      "49N60"
    ],
    "keywords": [
      "dirichlet boundary conditions",
      "mumford-shah functional",
      "boundary regularity",
      "study blow-ups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}