{
  "id": "0705.2849",
  "version": "v1",
  "published": "2007-05-20T05:57:06.000Z",
  "updated": "2007-05-20T05:57:06.000Z",
  "title": "Local Existence for Nonlinear Wave Equation with Radial Data in 2+1 Dimensions",
  "authors": [
    "Chengbo Wang",
    "Daoyuan Fang"
  ],
  "comment": "19pages, no figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We get a local existence result in $H^s$ with $s>3/2$ for second order quasilinear wave equation with radial initial data in 2+1 dimensions, based on an improvement of Strichartz estimate in the radial case. Moreover, we get the corresponding local well-posed result for semilinear wave equation. The required index of regularity here is 1/4 less than the index 7/4, which is essentially sharp in general.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-05-20T05:57:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L15",
      "35L70"
    ],
    "keywords": [
      "nonlinear wave equation",
      "radial data",
      "second order quasilinear wave equation",
      "dimensions",
      "semilinear wave equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.2849W"
    }
  }
}