{
  "id": "1509.03609",
  "version": "v1",
  "published": "2015-09-11T19:02:26.000Z",
  "updated": "2015-09-11T19:02:26.000Z",
  "title": "Lasry-Lions, Lax-Oleinik and Generalized characteristics",
  "authors": [
    "Cui Chen",
    "Wei Cheng"
  ],
  "categories": [
    "math.DS",
    "math.AP"
  ],
  "abstract": "In the recent works \\cite{Cannarsa-Chen-Cheng} and \\cite{Cannarsa-Cheng3}, an intrinsic approach of the propagation of singularities along the generalized characteristics was obtained, even in global case, by a procedure of sup-convolution with the kernel the fundamental solutions of the associated Hamilton-Jacobi equations. In the present paper, we exploit the relations among Lasry-Lions regularization, Lax-Oleinik operators (or inf/sup-convolution) and generalized characteristics, which are discussed in the context of the variational setting of Tonelli Hamiltonian dynamics, such as Mather theory and weak KAM theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-11T19:02:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized characteristics",
      "weak kam theory",
      "tonelli hamiltonian dynamics",
      "intrinsic approach",
      "mather theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150903609C"
    }
  }
}