{
  "id": "math/0005064",
  "version": "v5",
  "published": "2000-05-07T05:01:59.000Z",
  "updated": "2009-11-28T04:02:32.000Z",
  "title": "Local well-posedness of the Yang-Mills equation in the Temporal Gauge below the energy norm",
  "authors": [
    "Terence Tao"
  ],
  "comment": "15 pages, no figures. Some sign and coefficient errors in the equations have been fixed",
  "journal": "JDE 189 (2003), 366-382",
  "categories": [
    "math.AP"
  ],
  "abstract": "We show that the Yang-Mills equation in three dimensions is locally well-posed in the Temporal gauge for initial data in H^s x H^{s-1} for s > 3/4, if the norm of the initial data is sufficiently small. The main new ingredients are a splitting of the connection into curl-free and div-free components, and some product estimates which interact solutions of wave equations Box u = F with solutions of time integration equations partial_t u = F.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2009-11-28T04:02:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10"
    ],
    "keywords": [
      "yang-mills equation",
      "temporal gauge",
      "local well-posedness",
      "energy norm",
      "initial data"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......5064T"
    }
  }
}