{
  "id": "1103.4014",
  "version": "v1",
  "published": "2011-03-21T14:02:31.000Z",
  "updated": "2011-03-21T14:02:31.000Z",
  "title": "Endpoint estimates and global existence for the nonlinear Dirac equation with potential",
  "authors": [
    "Federico Cacciafesta",
    "Piero D'Ancona"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove endpoint estimates with angular regularity for the wave and Dirac equations perturbed with a small potential. The estimates are applied to prove global existence for the cubic Dirac equation perturbed with a small potential, for small initial $H^{1}$ data with additional angular regularity. This implies in particular global existence in the critical energy space $H^{1}$ for small radial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-21T14:02:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global existence",
      "nonlinear dirac equation",
      "endpoint estimates",
      "small potential",
      "small radial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.4014C"
    }
  }
}