{
  "id": "1211.3527",
  "version": "v1",
  "published": "2012-11-15T08:34:24.000Z",
  "updated": "2012-11-15T08:34:24.000Z",
  "title": "Global well-posedness for the Maxwell-Klein Gordon equation in 4+1 dimensions. Small energy",
  "authors": [
    "Joachim Krieger",
    "Jacob Sterbenz",
    "Daniel Tataru"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove that the critical Maxwell-Klein Gordon equation on R4+1 is globally well-posed for smooth initial data which are small in the energy. This reduces the problem of global regularity for large, smooth initial data to precluding concentration of energy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-15T08:34:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small energy",
      "global well-posedness",
      "smooth initial data",
      "dimensions",
      "critical maxwell-klein gordon equation"
    ],
    "publication": {
      "doi": "10.1215/00127094-2885982"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1203217,
      "adsabs": "2012arXiv1211.3527K"
    }
  }
}