{
  "id": "1608.02831",
  "version": "v1",
  "published": "2016-08-09T15:21:00.000Z",
  "updated": "2016-08-09T15:21:00.000Z",
  "title": "Local well-posedness for the (3+1)-dimensional Maxwell-Klein-Gordon equations in temporal gauge",
  "authors": [
    "Hartmut Pecher"
  ],
  "comment": "15 pages. arXiv admin note: substantial text overlap with arXiv:1512.05197",
  "categories": [
    "math.AP"
  ],
  "abstract": "This is a more or less straightforward adjustment of the paper arXiv:1512.05197 by the author for the 2+1 dimensional Maxwell-Klein-Gordon equations in temporal gauge to the 3+1 dimensional situation. They are shown to be locally well-posed for low regularity data even below energy level improving a result by Yuan. Fundamental for the proof is a partial null structure of the nonlinearity which allows to rely on bilinear estimates in wave-Sobolev spaces by d'Ancona, Foschi and Selberg, on an $(L^4_x L^2_t)$ - estimate for the solution of the wave equation, and on the proof of a related result for the Yang-Mills equations by Tao.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-09T15:21:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "temporal gauge",
      "local well-posedness",
      "dimensional maxwell-klein-gordon equations",
      "low regularity data",
      "partial null structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}