{
  "id": "1608.02020",
  "version": "v1",
  "published": "2016-08-05T20:54:35.000Z",
  "updated": "2016-08-05T20:54:35.000Z",
  "title": "Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space",
  "authors": [
    "Benjamin Dodson"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove that the cubic wave equation is globally well - posed and scattering for radial initial data lying in $B_{1,1}^{2} \\times B_{1,1}^{1}$. This space of functions is a scale invariant subspace of $\\dot{H}^{1/2} \\times \\dot{H}^{-1/2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-05T20:54:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cubic wave equation",
      "critical besov space",
      "global well-posedness",
      "scattering",
      "scale invariant subspace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}