{
  "id": "1302.2719",
  "version": "v2",
  "published": "2013-02-12T07:05:22.000Z",
  "updated": "2013-02-18T06:54:01.000Z",
  "title": "On the orbital stability of fractional Schrödinger equations",
  "authors": [
    "Yonggeun Cho",
    "Gyeongha Hwang",
    "Hichem Hajaiej",
    "Tohru Ozawa"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We show the existence of ground state and orbital stability of standing waves of fractional Schr\\\"{o}dinger equations with power type nonlinearity. For this purpose we establish the uniqueness of weak solutions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-18T06:54:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional schrödinger equations",
      "orbital stability",
      "power type nonlinearity",
      "ground state",
      "weak solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.2719C"
    }
  }
}