{
  "id": "0912.2057",
  "version": "v1",
  "published": "2009-12-10T17:26:51.000Z",
  "updated": "2009-12-10T17:26:51.000Z",
  "title": "Free boundary regularity for a problem with right hand side",
  "authors": [
    "Daniela De Silva"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a one-phase free boundary problem with variable coefficients and non-zero right hand side. We prove that flat free boundaries are $C^{1,\\alpha}$ using a different approach than the classical supconvolution method of Caffarelli. We use this result to obtain that Lipschitz free boundaries are $C^{1,\\alpha}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-10T17:26:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65"
    ],
    "keywords": [
      "free boundary regularity",
      "non-zero right hand side",
      "one-phase free boundary problem",
      "flat free boundaries",
      "lipschitz free boundaries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.2057D"
    }
  }
}