{
  "id": "2106.02723",
  "version": "v1",
  "published": "2021-06-04T21:08:46.000Z",
  "updated": "2021-06-04T21:08:46.000Z",
  "title": "A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton",
  "authors": [
    "Benjamin Dodson"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2104.11690",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove rigidity for blowup solutions to the focusing, mass-critical nonlinear Schr{\\\"o}dinger equation in dimensions $2 \\leq d \\leq 15$ with mass equal to the mass of the soliton. We prove that the only such solutions are the solitons and the pseudoconformal transformation of the solitons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-04T21:08:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55"
    ],
    "keywords": [
      "blowup solutions",
      "mass equal",
      "focusing nls",
      "determination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}