{
  "id": "1208.4373",
  "version": "v1",
  "published": "2012-08-21T20:13:38.000Z",
  "updated": "2012-08-21T20:13:38.000Z",
  "title": "On the existence of smooth solutions for fully nonlinear parabolic equations with measurable \"coefficients\" without convexity assumptions",
  "authors": [
    "Hongjie Dong",
    "Nicolai V. Krylov"
  ],
  "comment": "29 pages, submitted. arXiv admin note: substantial text overlap with arXiv:1203.1298",
  "categories": [
    "math.AP"
  ],
  "abstract": "We show that for any uniformly parabolic fully nonlinear second-order equation with bounded measurable \"coefficients\" and bounded \"free\" term in any cylindrical smooth domain with smooth boundary data one can find an approximating equation which has a unique continuous solution with the first derivatives bounded and the second spacial derivatives locally bounded. The approximating equation is constructed in such a way that it modifies the original one only for large values of the unknown function and its spacial derivatives.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-21T20:13:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fully nonlinear parabolic equations",
      "convexity assumptions",
      "smooth solutions",
      "parabolic fully nonlinear second-order",
      "fully nonlinear second-order equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.4373D"
    }
  }
}