{
  "id": "1101.2601",
  "version": "v2",
  "published": "2011-01-13T16:06:50.000Z",
  "updated": "2013-02-07T15:06:02.000Z",
  "title": "Optimal regularity and nondegeneracy of a free boundary problem related to the fractional Laplacian",
  "authors": [
    "Ray Yang"
  ],
  "comment": "Updated draft - certain changes suggested by referee in presentation, typos and some errors corrected, main results unchanged",
  "categories": [
    "math.AP"
  ],
  "abstract": "We discuss the optimal regularity and nondegeneracy of a free boundary problem related to the fractional Laplacian. This work is related to, but addresses a different problem from, recent work of Caffarelli, Roquejoffre, and Sire. A variant of the boundary Harnack inequality is also proved, where it is no longer required that the function be 0 along the boundary.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-07T15:06:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R35"
    ],
    "keywords": [
      "free boundary problem",
      "fractional laplacian",
      "optimal regularity",
      "nondegeneracy",
      "boundary harnack inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.2601Y"
    }
  }
}