{
  "id": "1702.07062",
  "version": "v1",
  "published": "2017-02-23T01:41:54.000Z",
  "updated": "2017-02-23T01:41:54.000Z",
  "title": "Stochastic complex Ginzburg-Landau equation with space-time white noise",
  "authors": [
    "Masato Hoshino",
    "Yuzuru Inahama",
    "Nobuaki Naganuma"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We study the stochastic cubic complex Ginzburg-Landau equation with complex-valued space-time white noise on the three dimensional torus. This nonlinear equation is so singular that it can only be under- stood in a renormalized sense. In the first half of this paper we prove local well-posedness of this equation in the framework of regularity structure theory. In the latter half we prove local well-posedness in the framework of paracontrolled distribution theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-23T01:41:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "82C28"
    ],
    "keywords": [
      "stochastic complex ginzburg-landau equation",
      "stochastic cubic complex ginzburg-landau equation",
      "local well-posedness",
      "regularity structure theory",
      "complex-valued space-time white noise"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}