{
  "id": "2101.02075",
  "version": "v1",
  "published": "2021-01-06T14:50:09.000Z",
  "updated": "2021-01-06T14:50:09.000Z",
  "title": "Singularities of solutions of Hamilton-Jacobi equations",
  "authors": [
    "Piermarco Cannarsa",
    "Wei Cheng"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "This is a survey paper on the quantitative analysis of the propagation of singularities for the viscosity solutions to Hamilton-Jacobi equations in the past decades. We also review further applications of the theory to various fields such as Riemannian geometry, Hamiltonian dynamical systems and partial differential equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-06T14:50:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35F21",
      "49L25",
      "37J50"
    ],
    "keywords": [
      "hamilton-jacobi equations",
      "singularities",
      "partial differential equations",
      "survey paper",
      "hamiltonian dynamical systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}