{
  "id": "0804.3312",
  "version": "v3",
  "published": "2008-04-21T14:02:39.000Z",
  "updated": "2008-11-02T14:51:14.000Z",
  "title": "Krein's Resolvent Formula for Self-Adjoint Extensions of Symmetric Second Order Elliptic Differential Operators",
  "authors": [
    "Andrea Posilicano",
    "Luca Raimondi"
  ],
  "comment": "Final version, to appear in J. Phys. A: Math. Theor",
  "doi": "10.1088/1751-8113/42/1/015204",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Given a symmetric, semi-bounded, second order elliptic differential operator on a bounded domain with $C^{1,1}$ boundary, we provide a Krein-type formula for the resolvent difference between its Friedrichs extension and an arbitrary self-adjoint one.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-11-02T14:51:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second order elliptic differential operator",
      "symmetric second order elliptic differential",
      "kreins resolvent formula",
      "self-adjoint extensions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2009,
      "month": "Jan",
      "volume": 42,
      "number": 1,
      "pages": "015204"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JPhA...42a5204P"
    }
  }
}