{
  "id": "2305.19672",
  "version": "v1",
  "published": "2023-05-31T09:15:03.000Z",
  "updated": "2023-05-31T09:15:03.000Z",
  "title": "Continuity of the double layer potential of a second order elliptic differential operator in Schauder spaces on the boundary",
  "authors": [
    "Massimo Lanza de Cristoforis"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2103.06971",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the validity of a regularizing property on the boundary of the double layer potential associated to the fundamental solution of a {\\em nonhomogeneous} second order elliptic differential operator with constant coefficients in Schauder spaces of exponent greater or equal to two that sharpens classical results of N.M.~G\\\"{u}nter, S.~Mikhlin, V.D.~Kupradze, T.G.~Gegelia, M.O.~Basheleishvili and T.V.~Bur\\-chuladze, U.~Heinemann and extends the work of A.~Kirsch who has considered the case of the Helmholtz operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-31T09:15:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31B10"
    ],
    "keywords": [
      "second order elliptic differential operator",
      "double layer potential",
      "schauder spaces",
      "continuity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}