{
  "id": "1808.04763",
  "version": "v1",
  "published": "2018-08-14T15:50:42.000Z",
  "updated": "2018-08-14T15:50:42.000Z",
  "title": "Some lower bounds for solutions of Schrodinger evolutions",
  "authors": [
    "Mikel Agirre",
    "Luis Vega"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We hereby present some lower bounds for regular solutions of Schrodinger equations with bounded and time dependent complex potentials. Assuming that the solution has some positive mass at time zero within a ball of certain radius, we prove that this mass can be observed if one looks at the solution and its gradient in space-time parabolic regions outside of that ball.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-14T15:50:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bounds",
      "schrodinger evolutions",
      "space-time parabolic regions outside",
      "time dependent complex potentials",
      "time zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}