{
  "id": "0902.4030",
  "version": "v2",
  "published": "2009-02-23T22:27:12.000Z",
  "updated": "2010-03-30T18:51:42.000Z",
  "title": "Regularity results for nonlocal equations by approximation",
  "authors": [
    "Luis Caffarelli",
    "Luis Silvestre"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove a nonlocal version of the Cordes-Niremberg estimates. We use it to extend our previous regularity results for fully nonlinear integro-differential equations to the variable coefficient case and several other settings where the equation can be thought of as a perturbation of the translation invariant case.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-30T18:51:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "regularity results",
      "nonlocal equations",
      "approximation",
      "translation invariant case",
      "fully nonlinear integro-differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.4030C"
    }
  }
}