{
  "id": "2311.03968",
  "version": "v1",
  "published": "2023-11-07T13:08:01.000Z",
  "updated": "2023-11-07T13:08:01.000Z",
  "title": "Channel-localized Strichartz estimates of radial wave equations",
  "authors": [
    "Liang Li",
    "Shenghao Luo",
    "Ruipeng Shen"
  ],
  "comment": "17 pages, 1 figure",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this work we give a few new Strichartz estimates of radial solutions to the wave equation. These Strichartz estimates still use $L^p L^q$ type norms in each channel-like region $\\{(x,t): |t|+2^k < |x| < |t|+2^{k+1}\\}$, with weaker restrictions on $p, q$ than the classic ones, but combine these localized norms together in the way of an $l^2$ space. We also give an application of these Strichartz estimates on the well-posedness theory of non-linear wave equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-07T13:08:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L71",
      "35L05"
    ],
    "keywords": [
      "radial wave equations",
      "channel-localized strichartz estimates",
      "non-linear wave equations",
      "type norms",
      "weaker restrictions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}