{
  "id": "2305.06170",
  "version": "v1",
  "published": "2023-05-10T13:59:25.000Z",
  "updated": "2023-05-10T13:59:25.000Z",
  "title": "Stability estimates for the recovery of the nonlinearity from scattering data",
  "authors": [
    "Gong Chen",
    "Jason Murphy"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove stability estimates for the problem of recovering the nonlinearity from scattering data. We focus our attention on nonlinear Schr\\\"odinger equations of the form \\[ (i\\partial_t+\\Delta)u = a(x)|u|^p u \\] in three space dimensions, with $p\\in[\\tfrac43,4]$ and $a\\in W^{1,\\infty}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-10T13:59:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stability estimates",
      "scattering data",
      "nonlinearity",
      "space dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}