{
  "id": "1010.1906",
  "version": "v1",
  "published": "2010-10-10T10:06:48.000Z",
  "updated": "2010-10-10T10:06:48.000Z",
  "title": "Unique Continuation for Schrödinger Evolutions, with applications to profiles of concentration and traveling waves",
  "authors": [
    "L. Escauriaza",
    "C. E. Kenig",
    "G. Ponce",
    "L. Vega"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove unique continuation properties for solutions of the evolution Schr\\\"odinger equation with time dependent potentials. As an application of our method we also obtain results concerning the possible concentration profiles of blow up solutions and the possible profiles of the traveling waves solutions of semi-linear Schr\\\"odinger equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-10T10:06:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schrödinger evolutions",
      "application",
      "unique continuation properties",
      "time dependent potentials",
      "traveling waves solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-011-1256-3",
      "journal": "Communications in Mathematical Physics",
      "year": 2011,
      "month": "Jul",
      "volume": 305,
      "number": 2,
      "pages": 487
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011CMaPh.305..487E"
    }
  }
}