{
  "id": "1404.5159",
  "version": "v3",
  "published": "2014-04-21T10:16:45.000Z",
  "updated": "2014-07-02T12:51:47.000Z",
  "title": "Global well-posedness on the derivative nonlinear Schrödinger equation revisited",
  "authors": [
    "Yifei Wu"
  ],
  "comment": "8 pages. Some typos are corrected",
  "categories": [
    "math.AP"
  ],
  "abstract": "As a continuation of the previous work \\cite{Wu}, we consider the global well-posedness for the derivative nonlinear Schr\\\"odinger equation. We prove that it is globally well-posed in energy space, provided that the initial data $u_0\\in H^1(\\mathbb{R})$ with $\\|u_0\\|_{L^2}< 2\\sqrt{\\pi}$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-07-02T12:51:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35A01"
    ],
    "keywords": [
      "derivative nonlinear schrödinger equation",
      "global well-posedness",
      "energy space",
      "initial data",
      "continuation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.5159W"
    }
  }
}