{
  "id": "0905.3000",
  "version": "v4",
  "published": "2009-05-18T22:46:35.000Z",
  "updated": "2009-11-24T18:35:24.000Z",
  "title": "Global well-posedness for cubic NLS with nonlinear damping",
  "authors": [
    "Paolo Antonelli",
    "Christof Sparber"
  ],
  "comment": "minor modifications, more details given",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the Cauchy problem for the cubic nonlinear Schroedinger equation, perturbed by (higher order) dissipative nonlinearities. We prove global in-time existence of solutions for general initial data in the energy space. In particular we treat the energy-critical case of a quintic dissipation in three space dimensions.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-11-24T18:35:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35A05",
      "37L05"
    ],
    "keywords": [
      "cubic nls",
      "global well-posedness",
      "nonlinear damping",
      "cubic nonlinear schroedinger equation",
      "general initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.3000A"
    }
  }
}