{
  "id": "1809.08284",
  "version": "v1",
  "published": "2018-09-21T19:50:12.000Z",
  "updated": "2018-09-21T19:50:12.000Z",
  "title": "Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation",
  "authors": [
    "Benjamin Dodson"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove global well-posedness and scattering for the defocusing, cubic, nonlinear wave equation on $\\mathbf{R}^{1 + 3}$ with radial initial data lying in the critical Sobolev space $\\dot{H}^{1/2}(\\mathbf{R}^{3}) \\times \\dot{H}^{-1/2}(\\mathbf{R}^{3})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-21T19:50:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L71"
    ],
    "keywords": [
      "cubic nonlinear wave equation",
      "global well-posedness",
      "defocusing",
      "scattering",
      "radial initial data lying"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}