{
  "id": "1801.03361",
  "version": "v1",
  "published": "2018-01-10T13:12:21.000Z",
  "updated": "2018-01-10T13:12:21.000Z",
  "title": "Regularity for evolution equations with non-autonomous perturbations in Banach spaces",
  "authors": [
    "Markus Penz"
  ],
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We provide regularity of solutions to a large class of evolution equations on Banach spaces where the generator is composed of a static principal part plus a non-autonomous perturbation. Regularity is examined with respect to the graph norm of the iterations of the principal part. The results are applied to the Schr\\\"odinger equation and conditions on a time-dependent scalar potential for regularity of the solution in higher Sobolev spaces are derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-10T13:12:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "evolution equations",
      "banach spaces",
      "non-autonomous perturbation",
      "regularity",
      "static principal part plus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}