{
  "id": "1902.06987",
  "version": "v1",
  "published": "2019-02-19T10:52:25.000Z",
  "updated": "2019-02-19T10:52:25.000Z",
  "title": "Randomization improved Strichartz estimates and global well-posedness for supercritical data",
  "authors": [
    "Nicolas Burq",
    "Joachim Krieger"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We introduce a novel data randomisation for the free wave equation which leads to the same range of Strichartz estimates as for radial data, albeit in a non-radial context. We then use these estimates to establish global well-posedness for a wave maps type nonlinear wave equation for certain supercritical data, provided the data are suitably small and randomised.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-19T10:52:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35B40"
    ],
    "keywords": [
      "strichartz estimates",
      "global well-posedness",
      "supercritical data",
      "maps type nonlinear wave equation",
      "wave maps type nonlinear wave"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}