{
  "id": "1301.0194",
  "version": "v1",
  "published": "2013-01-02T09:24:20.000Z",
  "updated": "2013-01-02T09:24:20.000Z",
  "title": "A comparison among various notions of viscosity solutions for Hamilton-Jacobi equations on networks",
  "authors": [
    "Fabio Camilli",
    "Claudio Marchi"
  ],
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "Three definitions of viscosity solutions for Hamilton-Jacobi equations on networks recently appeared in literature ([1,4,6]). Being motivated by various applications, they appear to be considerably different. Aim of this note is to establish their equivalence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-02T09:24:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R02",
      "35F21",
      "35D40"
    ],
    "keywords": [
      "viscosity solutions",
      "hamilton-jacobi equations",
      "comparison",
      "definitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.0194C"
    }
  }
}