{
  "id": "1711.01956",
  "version": "v1",
  "published": "2017-11-06T15:26:43.000Z",
  "updated": "2017-11-06T15:26:43.000Z",
  "title": "Long time behaviour for the reinitialization of the distance function",
  "authors": [
    "Marcello Carioni"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article we study the long-time behaviour of a class of non-coercive Hamilton-Jacobi equations, that includes, as a notable example, the so called reinitialization of the distance function. In particular we prove that its viscosity solution converges uniformly as $t\\rightarrow +\\infty$ to the signed distance function from the zero level set of the initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-06T15:26:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long time behaviour",
      "reinitialization",
      "viscosity solution converges",
      "zero level set",
      "long-time behaviour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}