{
  "id": "1201.5331",
  "version": "v2",
  "published": "2012-01-25T17:28:28.000Z",
  "updated": "2016-02-27T00:57:56.000Z",
  "title": "Dispersive Estimates in R^3 with Threshold Resonances",
  "authors": [
    "Marius Beceanu"
  ],
  "comment": "45 pages. Substantially changed from previous version. Now includes the case of zero energy eigenfunctions. The title of the published version has been changed to \"Dispersive Estimates in R^3 with Threshold Eigenstates and Resonances\"",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove dispersive estimates in R^3 for the Schroedinger evolution generated by the Hamiltonian H = -\\Delta+V, under optimal decay conditions on V, in the presence of zero energy eigenfunctions and resonances.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-25T17:28:28.000Z",
      "title": "Dispersive estimates in R^3 with Threshold Resonances",
      "abstract": "We prove dispersive estimates in R^3 for the Schroedinger evolution generated by the Hamiltonian H = -\\Delta+V, under optimal conditions on $V$, in the presence of zero resonances.",
      "comment": "22 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-02-27T00:57:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10",
      "47D08"
    ],
    "keywords": [
      "dispersive estimates",
      "threshold resonances",
      "optimal conditions",
      "zero resonances"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.5331B"
    }
  }
}