{
  "id": "1507.07644",
  "version": "v1",
  "published": "2015-07-28T05:19:38.000Z",
  "updated": "2015-07-28T05:19:38.000Z",
  "title": "Strichartz Estimates for Charge Transfer Models",
  "authors": [
    "Gong Chen"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this note, we prove Strichartz estimates for scattering states of scalar charge transfer models in $\\mathbb{R}^{3}$. Based on the idea of the proof of Strichartz estimates which follows \\cite{CM,RSS}, we also show the energy of the whole evolution is bounded independently of time without using the phase space method, for example, in \\cite{Graf}. One can easily generalize our argument to $\\mathbb{R}^{n}$ for $n\\geq3$. Finally, in the last section, we discuss the extension of these results to matrix charge transfer models in $\\mathbb{R}^{3}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-28T05:19:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "37K40"
    ],
    "keywords": [
      "strichartz estimates",
      "matrix charge transfer models",
      "scalar charge transfer models",
      "phase space method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}