{
  "id": "0811.1784",
  "version": "v1",
  "published": "2008-11-11T21:50:42.000Z",
  "updated": "2008-11-11T21:50:42.000Z",
  "title": "On normal stability for nonlinear parabolic equations",
  "authors": [
    "Jan Pruess",
    "Gieri Simonett",
    "Rico Zacher"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "We show convergence of solutions to equilibria for quasilinear and fully nonlinear parabolic evolution equations in situations where the set of equilibria is non-discrete, but forms a finite-dimensional $C^1$-manifold which is normally stable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-11T21:50:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35B35",
      "34G20",
      "37D10"
    ],
    "keywords": [
      "nonlinear parabolic equations",
      "normal stability",
      "fully nonlinear parabolic evolution equations",
      "equilibria",
      "quasilinear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.1784P"
    }
  }
}