{
  "id": "1410.4048",
  "version": "v1",
  "published": "2014-10-15T13:04:43.000Z",
  "updated": "2014-10-15T13:04:43.000Z",
  "title": "Enclosure method for the p-Laplace equation",
  "authors": [
    "Tommi Brander",
    "Manas Kar",
    "Mikko Salo"
  ],
  "comment": "17 pages, 0 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the enclosure method for the p-Calder\\'on problem, which is a nonlinear generalization of the inverse conductivity problem due to Calder\\'on that involves the p-Laplace equation. The method allows one to reconstruct the convex hull of inclusions in the nonlinear model by using exponentially growing solutions introduced by Wolff. We justify this method for the penetrable obstacle case, where the inclusion is modelled as a jump in the conductivity. The result is based on a monotonicity inequality and the properties of the Wolff solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-15T13:04:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35J92"
    ],
    "keywords": [
      "p-laplace equation",
      "enclosure method",
      "inverse conductivity problem",
      "p-calderon problem",
      "nonlinear generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015InvPr..31d5001B"
    }
  }
}