{
  "id": "1206.3473",
  "version": "v2",
  "published": "2012-06-15T14:05:31.000Z",
  "updated": "2013-03-21T15:37:47.000Z",
  "title": "Scattering for the Zakharov system in 3 dimensions",
  "authors": [
    "Zaher Hani",
    "Fabio Pusateri",
    "Jalal Shatah"
  ],
  "comment": "Minor changes and referee's comments included",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove global existence and scattering for small localized solutions of the Cauchy problem for the Zakharov system in 3 space dimensions. The wave component is shown to decay pointwise at the optimal rate of t^{-1}, whereas the Schr\\\"odinger component decays almost at a rate of t^{-7/6}.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-03-21T15:37:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35L70"
    ],
    "keywords": [
      "zakharov system",
      "scattering",
      "global existence",
      "optimal rate",
      "small localized solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-013-1738-6",
      "journal": "Communications in Mathematical Physics",
      "year": 2013,
      "month": "Sep",
      "volume": 322,
      "number": 3,
      "pages": 731
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013CMaPh.322..731H"
    }
  }
}