{
  "id": "1502.06228",
  "version": "v1",
  "published": "2015-02-22T14:18:38.000Z",
  "updated": "2015-02-22T14:18:38.000Z",
  "title": "Global well-posedness in energy space for the Chern-Simons-Higgs system in temporal gauge",
  "authors": [
    "Hartmut Pecher"
  ],
  "comment": "17 pages. arXiv admin note: substantial text overlap with arXiv:1401.0145",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Cauchy problem for the Chern-Simons-Higgs system in the (2+1)-dimensional Minkowski space in temporal gauge is globally well-posed in energy space improving a result of Huh. The proof uses the bilinear space-time estimates in wave-Sobolev spaces by d'Ancona, Foschi and Selberg, an $L^6_x L^2_t$-estimate for solutions of the wave equation, and also takes advantage of a null condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-22T14:18:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "energy space",
      "chern-simons-higgs system",
      "temporal gauge",
      "global well-posedness",
      "bilinear space-time estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1345904
    }
  }
}