{
  "id": "1402.4311",
  "version": "v3",
  "published": "2014-02-18T12:13:54.000Z",
  "updated": "2015-03-12T12:33:44.000Z",
  "title": "Strichartz inequalities for the Schrödinger equation with the full Laplacian on H-type groups",
  "authors": [
    "Heping Liu",
    "Manli Song"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the dispersive estimates and Strichartz inequalities for the solution of the Schr\\\"{o}dinger equation related to the full Laplacian on H-type groups, by means of Besov spaces defined by a Littlewood-Paley decomposition related to the spectral of the full Laplacian. Let $p$ be the dimension of the center on those groups and we assume that $p>1$. This requires a careful analysis due also to the non-homogeneous nature of the full Laplacian.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-27T01:39:28.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-03-12T12:33:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E25",
      "33C45",
      "35B65",
      "35J05"
    ],
    "keywords": [
      "full laplacian",
      "strichartz inequalities",
      "h-type groups",
      "schrödinger equation",
      "dispersive estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.4311L"
    }
  }
}