{
  "id": "math/0603009",
  "version": "v1",
  "published": "2006-03-01T04:17:33.000Z",
  "updated": "2006-03-01T04:17:33.000Z",
  "title": "A Kirchoff-Sobolev parametrix for the wave equation and applications",
  "authors": [
    "S. Klainerman",
    "I. Rodnianski"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We propose a geometric construction of a first order physical space parametrix for solutions to covariant, tensorial wave equations on a curved background. We describe its applications to a large data breakdown criterion in General Relativity and also give a new gauge independent proof of the Eardley-Moncrief result on large data global existence result for the 3+1-dimensional Yang-MIlls equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-01T04:17:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "wave equation",
      "kirchoff-sobolev parametrix",
      "large data global existence result",
      "applications",
      "first order physical space parametrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3009K"
    }
  }
}