{
  "id": "2109.11341",
  "version": "v1",
  "published": "2021-09-23T12:41:26.000Z",
  "updated": "2021-09-23T12:41:26.000Z",
  "title": "Global wellposedness of NLS in $H^1(\\mathbb{R}) + H^s(\\mathbb{T})$",
  "authors": [
    "Friedrich Klaus",
    "Peer Kunstmann"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We show global wellposedness for the defocusing cubic nonlinear Schr\\\"odinger equation (NLS) in $H^1(\\mathbb{R}) + H^{3/2+}(\\mathbb{T})$, and for the defocusing NLS with polynomial nonlinearities in $H^1(\\mathbb{R}) + H^{5/2+}(\\mathbb{T})$. This complements local results for the cubic NLS and global results for the quadratic NLS in this hybrid setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-23T12:41:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "37K10"
    ],
    "keywords": [
      "global wellposedness",
      "complements local results",
      "defocusing cubic nonlinear",
      "global results",
      "cubic nls"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}