{
  "id": "1001.5191",
  "version": "v1",
  "published": "2010-01-28T15:12:07.000Z",
  "updated": "2010-01-28T15:12:07.000Z",
  "title": "Hölder regularity for viscosity solutions of fully nonlinear, local or nonlocal, Hamilton-Jacobi equations with super-quadratic growth in the gradient",
  "authors": [
    "Pierre Cardaliaguet",
    "Catherine Rainer"
  ],
  "journal": "SIAM Journal on Control and Optimization 49, 2 (2011) 555-573",
  "categories": [
    "math.OC"
  ],
  "abstract": "Viscosity solutions of fully nonlinear, local or non local, Hamilton-Jacobi equations with a super-quadratic growth in the gradient variable are proved to be H\\\"older continuous, with a modulus depending only on the growth of the Hamiltonian. The proof involves some representation formula for nonlocal Hamilton-Jacobi equations in terms of controlled jump processes and a weak reverse inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-28T15:12:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49L25",
      "35K55",
      "93E20",
      "26D15"
    ],
    "keywords": [
      "viscosity solutions",
      "super-quadratic growth",
      "fully nonlinear",
      "hölder regularity",
      "nonlocal hamilton-jacobi equations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}