{
  "id": "1910.03972",
  "version": "v1",
  "published": "2019-10-09T13:17:31.000Z",
  "updated": "2019-10-09T13:17:31.000Z",
  "title": "Local well-posedness of the two-dimensional Dirac-Klein-Gordon equations in Fourier-Lebesgue spaces",
  "authors": [
    "Hartmut Pecher"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The local well-posedness problem is considered for the Dirac-Klein-Gordon system in two space dimensions for data in Fourier-Lebesgue spaces $\\hat{H}^{s,r}$ , where $\\|f\\|_{\\hat{H}^{s,r}} = \\| \\langle \\xi \\rangle^s \\hat{f}\\|_{L^{r'}}$ and $r$ and $r'$ denote dual exponents. We lower the regularity assumptions on the data with respect to scaling improving the results of d'Ancona, Foschi and Selberg in the classical case $r=2$ . Crucial is the fact that the nonlinearities fulfill a null condition as detected by these authors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-09T13:17:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "35L70"
    ],
    "keywords": [
      "two-dimensional dirac-klein-gordon equations",
      "fourier-lebesgue spaces",
      "local well-posedness problem",
      "denote dual exponents",
      "space dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}