{
  "id": "0808.0368",
  "version": "v2",
  "published": "2008-08-04T01:03:41.000Z",
  "updated": "2009-08-06T00:12:05.000Z",
  "title": "Global regularity of wave maps V. Large data local wellposedness and perturbation theory in the energy class",
  "authors": [
    "Terence Tao"
  ],
  "comment": "73 pages, no figures. Will not be published in current form, pending future reorganisation of the heatwave project",
  "categories": [
    "math.AP"
  ],
  "abstract": "Using the harmonic map heat flow and the function spaces of Tataru and the author, we establish a large data local well-posedness result in the energy class for wave maps from two-dimensional Minkowski space $\\R^{1+2}$ to hyperbolic spaces $\\H^m$. This is one of the five claims required in an earlier paper in this series to prove global regularity for such wave maps.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-08-06T00:12:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L70"
    ],
    "keywords": [
      "large data local wellposedness",
      "wave maps",
      "global regularity",
      "energy class",
      "perturbation theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 73,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.0368T"
    }
  }
}