{
  "id": "0711.4195",
  "version": "v2",
  "published": "2007-11-27T08:06:15.000Z",
  "updated": "2008-06-09T09:36:36.000Z",
  "title": "On asymptotic stability in energy space of ground states for Nonlinear Schrödinger equations",
  "authors": [
    "Scipio Cuccagna",
    "Tetsu Mizumachi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider nonlinear Schr\\\"odinger equations in dimension 3 or higher. We prove that symmetric finite energy solutions close to orbitally stable ground states converge asymptotically to a sum of a ground state and a dispersive wave assuming the so called Fermi Golden Rule (FGR) hypothesis. We improve the sign condition required in a recent paper by Gang Zhou and I.M.Sigal",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-09T09:36:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear schrödinger equations",
      "energy space",
      "asymptotic stability",
      "stable ground states converge"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-008-0605-3",
      "journal": "Communications in Mathematical Physics",
      "year": 2008,
      "month": "Nov",
      "volume": 284,
      "number": 1,
      "pages": 51
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008CMaPh.284...51C"
    }
  }
}