{
  "id": "1303.3219",
  "version": "v2",
  "published": "2013-03-13T17:25:35.000Z",
  "updated": "2013-10-31T11:26:46.000Z",
  "title": "Viscosity solution of Hamilton-Jacobi equation by a limiting minmax method",
  "authors": [
    "Qiaoling Wei"
  ],
  "comment": "27 pages",
  "journal": "Nonlinearity 27 (2014) 17-42",
  "categories": [
    "math.AP",
    "math.DS",
    "math.SG"
  ],
  "abstract": "For non convex Hamiltonians, the viscosity solution and the more geometric minimax solution of the Hamilton-Jacobi equation do not coincide in general. They are nevertheless related: we show that iterating the minimax procedure during shorter and shorter time intervals one recovers the viscosity solution.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-31T11:26:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "viscosity solution",
      "limiting minmax method",
      "hamilton-jacobi equation",
      "non convex hamiltonians",
      "shorter time intervals"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/27/1/17",
      "journal": "Nonlinearity",
      "year": 2014,
      "month": "Jan",
      "volume": 27,
      "number": 1,
      "pages": 17
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014Nonli..27...17W"
    }
  }
}