{
  "id": "1909.07684",
  "version": "v1",
  "published": "2019-09-17T09:52:55.000Z",
  "updated": "2019-09-17T09:52:55.000Z",
  "title": "Global existence and exponential decay to equilibrium for DLSS-type equations",
  "authors": [
    "Hantaek Bae",
    "Rafael Granero-Belinchón"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we deal with two logarithmic fourth order differential equations: the extended one-dimensional DLSS equation and its multi-dimensional analog. We show the global existence of solution in critical spaces, its convergence to equilibrium and the gain of spatial analyticity for these two equations in a unified way.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-17T09:52:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global existence",
      "dlss-type equations",
      "exponential decay",
      "equilibrium",
      "logarithmic fourth order differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}