{
  "id": "2408.17192",
  "version": "v1",
  "published": "2024-08-30T10:43:55.000Z",
  "updated": "2024-08-30T10:43:55.000Z",
  "title": "The volume potential for elliptic differential operators in Schauder spaces",
  "authors": [
    "M. Lanza de Cristoforis"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2405.01818, arXiv:2307.04775, arXiv:2305.19672",
  "categories": [
    "math.AP"
  ],
  "abstract": "The aim of this paper is to prove continuity results for the volume potential corresponding to the fundamental solution of a second order differential operator with constant coefficients in Schauder spaces of negative exponent and to generalize some classical results in Schauder spaces of positive exponents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-30T10:43:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "31B10",
      "35J25",
      "31B10",
      "35J25",
      "31B10",
      "35J25"
    ],
    "keywords": [
      "schauder spaces",
      "elliptic differential operators",
      "volume potential",
      "second order differential operator",
      "constant coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}