{
  "id": "0905.1678",
  "version": "v2",
  "published": "2009-05-11T18:56:47.000Z",
  "updated": "2010-04-09T03:33:33.000Z",
  "title": "Maximizers for the Strichartz Inequalities for the Wave Equation",
  "authors": [
    "Aynur Bulut"
  ],
  "comment": "28 pages, revised version, minor changes",
  "journal": "Differential and Integral Equations 23 (2010) 1035-1072",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the existence of maximizers for Strichartz inequalities for the wave equation in dimensions $d\\geq 3$. Our approach follows the scheme given by Shao, which obtains the existence of maximizers in the context of the Schr\\\"odinger equation. The main tool that we use is the linear profile decomposition for the wave equation which we prove in $\\mathbb{R}^d$, $d\\geq 3$, extending the profile decomposition result of Bahouri and Gerard, previously obtained in $\\mathbb{R}^3$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-09T03:33:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05"
    ],
    "keywords": [
      "wave equation",
      "strichartz inequalities",
      "maximizers",
      "main tool",
      "linear profile decomposition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.1678B"
    }
  }
}