{
  "id": "1612.08611",
  "version": "v1",
  "published": "2016-11-19T07:13:55.000Z",
  "updated": "2016-11-19T07:13:55.000Z",
  "title": "Well-posedness for Stochastic Evolution Equations with Monotone Non-linearity and Multiplicative Poisson Noise in $L^p$",
  "authors": [
    "Erfan Salavati",
    "Bijan Z. Zangeneh"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1501.00402",
  "categories": [
    "math.PR"
  ],
  "abstract": "Semilinear stochastic evolution equations with L\\'evy noise and monotone nonlinear drift are considered. The existence and uniqueness of the mild solutions in $L^p$ for these equations is proved and a sufficient condition for exponential asymptotic stability of the solutions is derived. The main tool in our study is an It\\^o type inequality for the $p$th power of stochastic convolution integrals in Hilbert spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-19T07:13:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10",
      "60H15",
      "60G51",
      "47H05",
      "47J35"
    ],
    "keywords": [
      "multiplicative poisson noise",
      "monotone non-linearity",
      "semilinear stochastic evolution equations",
      "well-posedness",
      "monotone nonlinear drift"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}