{
  "id": "math/0509545",
  "version": "v1",
  "published": "2005-09-23T10:12:54.000Z",
  "updated": "2005-09-23T10:12:54.000Z",
  "title": "Null structure and almost optimal local well-posedness of the Dirac-Klein-Gordon system",
  "authors": [
    "Piero D'Ancona",
    "Damiano Foschi",
    "Sigmund Selberg"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove almost optimal local well-posedness for the coupled Dirac-Klein-Gordon (DKG) system of equations in 1+3 dimensions. The proof relies on the null structure of the system, combined with bilinear spacetime estimates of Klainerman-Machedon type. It has been known for some time that the Klein-Gordon part of the system has a null structure; here we uncover an additional null structure in the Dirac equation, which cannot be seen directly, but appears after a duality argument.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-23T10:12:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "optimal local well-posedness",
      "dirac-klein-gordon system",
      "bilinear spacetime estimates",
      "additional null structure",
      "klainerman-machedon type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 693250,
      "adsabs": "2005math......9545D"
    }
  }
}