{
  "id": "1510.03207",
  "version": "v1",
  "published": "2015-10-12T10:02:32.000Z",
  "updated": "2015-10-12T10:02:32.000Z",
  "title": "On the regularizing effect for unbounded solutions of first-order Hamilton-Jacobi equations",
  "authors": [
    "Guy Barles",
    "Emmanuel Chasseigne"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We give a simplified proof of regularizing effects for first-order Hamilton-Jacobi Equations of the form $u\\_t+H(x,t,Du)=0$ in $\\R^N\\times(0,+\\infty)$ in the case where the idea is to first estimate $u\\_t$. As a consequence, we have a Lipschitz regularity in space and time for coercive Hamiltonians and, for hypo-elliptic Hamiltonians, we also have an H\\''older regularizing effect in space following a result of L. C. Evans and M. R. James.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-12T10:02:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first-order hamilton-jacobi equations",
      "regularizing effect",
      "unbounded solutions",
      "first estimate",
      "lipschitz regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}