{
  "id": "2304.12452",
  "version": "v1",
  "published": "2023-04-24T21:10:51.000Z",
  "updated": "2023-04-24T21:10:51.000Z",
  "title": "Restriction of viscosity solutions of the Hamilton-Jacobi equation to a submanifold M of \\mathbb{R}^{d}",
  "authors": [
    "Othmane Islah"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "We show in this article in what sense viscosity solutions of the Hamilton-Jacobi equation can be restricted to a submanifold M of \\mathbb{R}^{d}. We treat in this article the case of M\\times\\mathbb{R}^{d} being invariant by the Hamiltonian vector field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-24T21:10:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamilton-jacobi equation",
      "submanifold",
      "restriction",
      "sense viscosity solutions",
      "hamiltonian vector field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}