{
  "id": "math/0512018",
  "version": "v4",
  "published": "2005-12-01T09:21:40.000Z",
  "updated": "2014-06-04T19:53:04.000Z",
  "title": "Existence of $C^{1,1}$ critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds",
  "authors": [
    "Patrick Bernard"
  ],
  "journal": "Annales Scientifiques de l'\\'Ecole Normale Sup\\'erieure 40, 3 (2007) 445-452",
  "categories": [
    "math.DS",
    "math.AP"
  ],
  "abstract": "We prove the existence of a critical subsolution of the Hamilton-Jacobi equation which is differentiable with Lipschitz differential, improving a previous result of Fathi and Siconolfi. This text is a consolidated version with a minor mistake corrected from the published version.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-06-04T19:53:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamilton-jacobi equation",
      "compact manifolds",
      "critical sub-solutions",
      "lipschitz differential",
      "consolidated version"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}