{
  "id": "math/0101120",
  "version": "v2",
  "published": "2001-01-13T21:09:16.000Z",
  "updated": "2002-02-20T10:20:50.000Z",
  "title": "Almost optimal local well-posedness of the Maxwell-Klein-Gordon equations in 1+4 dimensions",
  "authors": [
    "Sigmund Selberg"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove that the Maxwell-Klein-Gordon equations on $\\R^{1+4}$ relative to the Coulomb gauge are locally well-posed for initial data in $H^{1+\\epsilon}$ for all $\\epsilon > 0$. This builds on previous work by Klainerman and Machedon who proved the corresponding result for a model problem derived from the Maxwell-Klein-Gordon system by ignoring the elliptic features of the system, as well as cubic terms.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-02-20T10:20:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "optimal local well-posedness",
      "maxwell-klein-gordon equations",
      "dimensions",
      "initial data",
      "coulomb gauge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......1120S"
    }
  }
}