{
  "id": "1606.07566",
  "version": "v1",
  "published": "2016-06-24T04:42:28.000Z",
  "updated": "2016-06-24T04:42:28.000Z",
  "title": "Global well-posedness for the derivative nonlinear Schrödinger equation in $H^{\\frac 12} (\\mathbb{R})$",
  "authors": [
    "Zihua Guo",
    "Yifei Wu"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove that the derivative nonlinear Schr\\\"{o}dinger equation is globally well-posed in $H^{\\frac 12} (\\mathbb{R})$ when the mass of initial data is strictly less than $4\\pi$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-24T04:42:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55"
    ],
    "keywords": [
      "derivative nonlinear schrödinger equation",
      "global well-posedness",
      "initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}