{
  "id": "1209.1017",
  "version": "v2",
  "published": "2012-09-05T15:38:34.000Z",
  "updated": "2013-05-31T13:18:32.000Z",
  "title": "A lower bound on the blow-up rate for the Davey-Stewartson system on the torus",
  "authors": [
    "Nicolas Godet"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the hyperbolic-elliptic version of the Davey-Stewartson system with cubic nonlinearity posed on the two dimensional torus. A natural setting for studying blow up solutions for this equation takes place in $H^s, 1/2 < s < 1$. In this paper, we prove a lower bound on the blow up rate for these regularities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-31T13:18:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bound",
      "davey-stewartson system",
      "blow-up rate",
      "hyperbolic-elliptic version",
      "dimensional torus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013AnIHP..30..691G"
    }
  }
}