{
  "id": "2108.06390",
  "version": "v1",
  "published": "2021-08-13T20:46:00.000Z",
  "updated": "2021-08-13T20:46:00.000Z",
  "title": "Strichartz estimates for the Klein--Gordon equation in $\\mathbb{R}^{3+1}$",
  "authors": [
    "Marius Beceanu",
    "Gong Chen"
  ],
  "comment": "39 pages",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "In this paper we prove standard and reversed Strichartz estimates for the Klein--Gordon equation in $\\mathbb{R}^{3+1}$. Instead of the Fourier theory, our analysis is based on fundamental solutions of the free equations and fractional integrations. In the final part of this paper, we apply Strichartz estimates in the study of a semilinear Klein--Gordon equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-13T20:46:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semilinear klein-gordon equation",
      "fundamental solutions",
      "reversed strichartz estimates",
      "fourier theory",
      "free equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}