{
  "id": "1307.3021",
  "version": "v2",
  "published": "2013-07-11T08:59:23.000Z",
  "updated": "2024-10-01T12:13:46.000Z",
  "title": "Guide to Boundary Value Problems for Dirac-Type Operators",
  "authors": [
    "Christian Baer",
    "Werner Ballmann"
  ],
  "comment": "30 pages, 2 figures, identical with published version up to layout",
  "journal": "W. Ballmann et al. (eds.), Arbeitstagung Bonn 2013, Progress in Mathematics 319 (Springer, Basel, 2016), pp. 43-80",
  "doi": "10.1007/978-3-319-43648-7_3",
  "categories": [
    "math.DG",
    "math.AP",
    "math.SP"
  ],
  "abstract": "We present an introduction to boundary value problems for Dirac-type operators on complete Riemannian manifolds with compact boundary. We introduce a very general class of boundary conditions which contains local elliptic boundary conditions in the sense of Lopatinskij and Shapiro as well as the Atiyah-Patodi-Singer boundary conditions. We discuss boundary regularity of solutions and also spectral and index theory. The emphasis is on providing the reader with a working knowledge.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-11T08:59:23.000Z",
      "comment": "30 pages, 2 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2024-10-01T12:13:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J56",
      "58J05",
      "58J20",
      "58J32"
    ],
    "keywords": [
      "boundary value problems",
      "dirac-type operators",
      "contains local elliptic boundary conditions",
      "complete riemannian manifolds",
      "atiyah-patodi-singer boundary conditions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.3021B"
    }
  }
}