{
  "id": "0801.0019",
  "version": "v2",
  "published": "2007-12-29T01:26:12.000Z",
  "updated": "2008-01-03T13:48:09.000Z",
  "title": "Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case",
  "authors": [
    "Changxing Miao",
    "Guixiang Xu",
    "Lifeng Zhao"
  ],
  "comment": "35 pages, 2 figures",
  "journal": "Colloquium Mathematicum, 114(2009)213-236",
  "doi": "10.4064/cm114-2-5",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We establish global existence, scattering for radial solutions to the energy-critical focusing Hartree equation with energy and $\\dot{H}^1$ norm less than those of the ground state in $\\mathbb{R}\\times \\mathbb{R}^d$, $d\\geq 5$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-03T13:48:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35Q55",
      "47J35"
    ],
    "keywords": [
      "global well-posedness",
      "radial case",
      "scattering",
      "ground state",
      "establish global existence"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.0019M"
    }
  }
}