{
  "id": "1501.06191",
  "version": "v1",
  "published": "2015-01-25T18:17:05.000Z",
  "updated": "2015-01-25T18:17:05.000Z",
  "title": "Global well-posedness of the dynamic $Φ^4$ model in the plane",
  "authors": [
    "Jean-Christophe Mourrat",
    "Hendrik Weber"
  ],
  "comment": "60 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show global well-posedness of the dynamic $\\Phi^4$ model in the plane. The model is a non-linear stochastic PDE that can only be interpreted in a \"renormalised\" sense. Solutions take values in suitable weighted Besov spaces of negative regularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-25T18:17:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T27",
      "81T40",
      "60H15",
      "35K55"
    ],
    "keywords": [
      "global well-posedness",
      "non-linear stochastic pde",
      "suitable weighted besov spaces",
      "negative regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 60,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150106191M"
    }
  }
}