{
  "id": "1902.01009",
  "version": "v1",
  "published": "2019-02-04T02:07:56.000Z",
  "updated": "2019-02-04T02:07:56.000Z",
  "title": "Inverse scattering and global well-posedness in one and two space dimensions",
  "authors": [
    "Peter A. Perry"
  ],
  "comment": "72 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "These notes are a considerably revised and expanded version of expository lectures given at the Fields Institute Workshop on \"Nonlinear Dispersive Partial Differential Equations and Inverse Scattering\" in August 2017. We give a complete and self-contained treatment of inverse scattering for the defocussing cubic NLS in one-dimension, following the 2003 paper of Deift and Zhou, and the defocussing Davey-Stewartson equation in two space dimensions, following the work of Perry and more recent work of Nachman, Regev, and Tataru.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-04T02:07:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37K15",
      "35Q35",
      "81U40"
    ],
    "keywords": [
      "space dimensions",
      "inverse scattering",
      "global well-posedness",
      "nonlinear dispersive partial differential equations",
      "fields institute workshop"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 72,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}