{
  "id": "math/0509372",
  "version": "v1",
  "published": "2005-09-16T11:56:16.000Z",
  "updated": "2005-09-16T11:56:16.000Z",
  "title": "Stability of translating solutions to mean curvature flow",
  "authors": [
    "Julie Clutterbuck",
    "Oliver C. Schnürer",
    "Felix Schulze"
  ],
  "comment": "12 pages, 2 figures",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove stability of rotationally symmetric translating solutions to mean curvature flow. For initial data that converge spatially at infinity to such a soliton, we obtain convergence for large times to that soliton without imposing any decay rates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-16T11:56:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "35B35"
    ],
    "keywords": [
      "mean curvature flow",
      "decay rates",
      "rotationally symmetric translating solutions",
      "large times",
      "initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9372C"
    }
  }
}