{
  "id": "0801.1277",
  "version": "v1",
  "published": "2008-01-08T16:55:08.000Z",
  "updated": "2008-01-08T16:55:08.000Z",
  "title": "On asymptotic stability in energy space of ground states of NLS in 2D",
  "authors": [
    "S. Cuccagna",
    "M. Tarulli"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We transpose work by K.Yajima and by T.Mizumachi to prove dispersive and smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schr\\\"odinger equation (NLS) in 2D. As an application we extend to dimension 2D a result on asymptotic stability of ground states of NLS proved in the literature for all dimensions different from 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-08T16:55:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state",
      "asymptotic stability",
      "energy space",
      "transpose work",
      "dimension 2d"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009AnIHP..26.1361C"
    }
  }
}