{
  "id": "1401.0145",
  "version": "v3",
  "published": "2013-12-31T13:47:51.000Z",
  "updated": "2014-10-13T08:47:43.000Z",
  "title": "Low regularity local well-posedness for the Chern-Simons-Higgs system in temporal gauge",
  "authors": [
    "Hartmut Pecher"
  ],
  "comment": "This paper has been withdrawn by the author due to an error in the proof of claim 4",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Cauchy problem for the Chern-Simons-Higgs system in the (2+1)-dimensional Minkowski space in temporal gauge is locally well-posed for low regularity initial data improving a result of Huh. The proof uses the bilinear space-time estimates in wave-Sobolev spaces by d'Ancona, Foschi and Selberg and takes advantage of a null condition.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-12T15:44:00.000Z",
      "comment": "11 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-13T08:47:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "low regularity local well-posedness",
      "chern-simons-higgs system",
      "temporal gauge",
      "low regularity initial data improving",
      "bilinear space-time estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1275900
    }
  }
}