{
  "id": "math/0402192",
  "version": "v2",
  "published": "2004-02-12T04:01:14.000Z",
  "updated": "2005-03-04T08:53:49.000Z",
  "title": "Angular Regularity and Strichartz Estimates for the Wave Equation",
  "authors": [
    "Jacob Sterbenz",
    "Igor Rodnianski"
  ],
  "comment": "34 pages. Updated with a simplified physical space proof by Igor Rodnianski",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove here essentially sharp linear and bilinear Strichartz type estimates for the wave equations on Minkowski space, where we assume the initial data possesses additional regularity with respect to fractional powers of the usual angular momentum operators. In this setting, the range of (q,r) exponents vastly improves over what is available for the wave equations based on translation invariant derivatives of the initial data and the dispersive inequality. Two proofs of this result are given.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-03-04T08:53:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05"
    ],
    "keywords": [
      "wave equation",
      "strichartz estimates",
      "angular regularity",
      "initial data possesses additional regularity",
      "usual angular momentum operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......2192S"
    }
  }
}