{
  "id": "1510.03807",
  "version": "v1",
  "published": "2015-10-12T19:24:34.000Z",
  "updated": "2015-10-12T19:24:34.000Z",
  "title": "Global regularity properties for a class of Fourier integral operators",
  "authors": [
    "Michael Ruzhansky",
    "Mitsuru Sugimoto"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "While the local $L^p$-boundedness of nondegeneral Fourier integral operators is known from the work of Seeger, Sogge and Stein, not so many results are available for the global boundedness on $L^p(\\mathbb R^n)$. In this paper we give a sufficient condition for the global $L^p$-boundedness for a class of Fourier integral operators which includes many natural examples. We also describe a construction that can be used to deduce global results from the local ones. An application is given to obtain global $L^p$-estimates for solutions to Cauchy problems for hyperbolic partial differential equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-12T19:24:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S30",
      "35B65",
      "35L40"
    ],
    "keywords": [
      "global regularity properties",
      "hyperbolic partial differential equations",
      "nondegeneral fourier integral operators",
      "deduce global results",
      "boundedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}