{
  "id": "1111.4021",
  "version": "v3",
  "published": "2011-11-17T05:49:42.000Z",
  "updated": "2012-02-13T04:19:53.000Z",
  "title": "Global well-posedness and scattering for defocusing, cubic NLS in $\\mathbb{R}^3$",
  "authors": [
    "Qingtang Su"
  ],
  "comment": "25 pages, to appear in Math. Research Letter",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove global well-posedness and scattering for the defocusing, cubic NLS on $\\mathbb{R}^3$ with initial data in $H^s(\\mathbb{R}^3)$ for $s>49/74$. The proof combines the ideas of resonance decomposition in \\cite{CKSTT4} and linear-nonlinear decomposition in \\cite{ben1}\\cite{roy} together with the idea of large time iteration.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-02-13T04:19:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global well-posedness",
      "cubic nls",
      "defocusing",
      "scattering",
      "large time iteration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.4021S"
    }
  }
}