{
  "id": "1906.10807",
  "version": "v1",
  "published": "2019-06-26T01:52:46.000Z",
  "updated": "2019-06-26T01:52:46.000Z",
  "title": "Global Well-posedness of the Adiabatic Limit of Quantum Zakharov System in 1D",
  "authors": [
    "Brian J. Choi"
  ],
  "comment": "20 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we prove the low-regularity global well-posedness of the adibatic limit of the Quantum Zakharov system and consider its semi-classical limit, i.e., the convergence of the model equation as the quantum parameter tends to zero. We also show ill-posedness in negative Sobolev spaces and discuss the existence of ground-state soliton solutions in high spatial dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-26T01:52:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum zakharov system",
      "adiabatic limit",
      "high spatial dimensions",
      "low-regularity global well-posedness",
      "ground-state soliton solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}