{
  "id": "1605.07581",
  "version": "v1",
  "published": "2016-05-24T18:41:19.000Z",
  "updated": "2016-05-24T18:41:19.000Z",
  "title": "Generalized characteristics and Lax-Oleinik operators: global theory",
  "authors": [
    "Piermarco Cannarsa",
    "Wei Cheng"
  ],
  "categories": [
    "math.DS",
    "math.AP",
    "math.OC"
  ],
  "abstract": "For autonomous Tonelli systems on $\\R^n$, we develop an intrinsic proof of the existence of generalized characteristics using sup-convolutions. This approach, together with convexity estimates for the fundamental solution, leads to new results such as the global propagation of singularities along generalized characteristics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-24T18:41:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized characteristics",
      "lax-oleinik operators",
      "global theory",
      "global propagation",
      "autonomous tonelli systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}