{
  "id": "0912.1935",
  "version": "v1",
  "published": "2009-12-10T08:21:07.000Z",
  "updated": "2009-12-10T08:21:07.000Z",
  "title": "Symmetries in an overdetermined problem for the Green's function",
  "authors": [
    "Virginia Agostiniani",
    "Rolando Magnanini"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider in the plane the problem of reconstructing a domain from the normal derivative of its Green's function with pole at a fixed point in the domain. By means of the theory of conformal mappings, we obtain existence, uniqueness, (non-spherical) symmetry results, and a formula relating the curvature of the boundary of the domain to the normal derivative of its Green's function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-10T08:21:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35N25",
      "35J08",
      "35B06"
    ],
    "keywords": [
      "greens function",
      "overdetermined problem",
      "conformal mappings",
      "normal derivative",
      "symmetry results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.1935A"
    }
  }
}