{
  "id": "1102.3086",
  "version": "v2",
  "published": "2011-02-15T14:41:10.000Z",
  "updated": "2011-11-08T19:57:08.000Z",
  "title": "Regularity in a one-phase free boundary problem for the fractional Laplacian",
  "authors": [
    "Daniela De Silva",
    "Jean-Michel Roquejoffre"
  ],
  "comment": "Corrected some typos",
  "categories": [
    "math.AP"
  ],
  "abstract": "For a one-phase free boundary problem involving a fractional Laplacian, we prove that \"flat free boundaries\" are $C^{1,\\alpha}$. We recover the regularity results of Caffarelli for viscosity solutions of the classical Bernoulli-type free boundary problem with the standard Laplacian.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-11-08T19:57:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-phase free boundary problem",
      "fractional laplacian",
      "classical bernoulli-type free boundary problem",
      "flat free boundaries",
      "standard laplacian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.3086D"
    }
  }
}