{
  "id": "1907.00337",
  "version": "v1",
  "published": "2019-06-30T08:37:26.000Z",
  "updated": "2019-06-30T08:37:26.000Z",
  "title": "Flatness of invariant manifolds for stochastic partial differential equations driven by Lévy processes",
  "authors": [
    "Stefan Tappe"
  ],
  "comment": "10 pages",
  "journal": "Electronic Communications in Probability 20(40):1-11, 2015",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "The purpose of this note is to prove that the flatness of an invariant manifold for a semilinear stochastic partial differential equation driven by L\\'{e}vy processes is at least equal to the number of driving sources with small jumps. We illustrate our findings by means of an example.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-30T08:37:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "60G51"
    ],
    "keywords": [
      "stochastic partial differential equations driven",
      "invariant manifold",
      "lévy processes",
      "stochastic partial differential equation driven",
      "semilinear stochastic partial differential equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}