{
  "id": "1704.04396",
  "version": "v1",
  "published": "2017-04-14T11:20:21.000Z",
  "updated": "2017-04-14T11:20:21.000Z",
  "title": "Global well-posedness of complex Ginzburg-Landau equation with a space-time white noise",
  "authors": [
    "Masato Hoshino"
  ],
  "comment": "32 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We show the global-in-time well-posedness of the complex Ginzburg-Landau (CGL) equation with a space-time white noise on the 3-dimensional torus. Our method is based on [14], where Mourrat and Weber showed the global well-posedness for the dynamical $\\Phi_3^4$ model. We prove a priori $L^{2p}$ estimate for the paracontrolled solution as in the deterministic case [5].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-14T11:20:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "82C28"
    ],
    "keywords": [
      "space-time white noise",
      "complex ginzburg-landau equation",
      "global well-posedness",
      "global-in-time well-posedness",
      "deterministic case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}