{
  "id": "math/0406202",
  "version": "v1",
  "published": "2004-06-09T21:45:18.000Z",
  "updated": "2004-06-09T21:45:18.000Z",
  "title": "Fundamental Solutions and Mapping Properties of Semielliptic Operators",
  "authors": [
    "G. N. Hile"
  ],
  "comment": "35 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "An explicit formula is given for a fundamental solution for a class of semielliptic operators. The fundamental solution is used to investigate properties of these operators as mappings between weighted function spaces. Necessary and sufficient conditions are given for such a mapping to be an isomorphism. Results apply, for example, to elliptic, parabolic, and generalized p-parabolic operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-09T21:45:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35H30",
      "35E05",
      "35E20",
      "35G05"
    ],
    "keywords": [
      "fundamental solution",
      "semielliptic operators",
      "mapping properties",
      "sufficient conditions",
      "generalized p-parabolic operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6202H"
    }
  }
}