{
  "id": "1406.3908",
  "version": "v1",
  "published": "2014-06-16T05:45:57.000Z",
  "updated": "2014-06-16T05:45:57.000Z",
  "title": "Stochastic Evolution Equations with Multiplicative Poisson Noise and Monotone Nonlinearity: A New Approach",
  "authors": [
    "Erfan Salavati",
    "Bijan Z. Zangeneh"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1304.2122",
  "categories": [
    "math.PR"
  ],
  "abstract": "Semilinear stochastic evolution equations with multiplicative Poisson noise and monotone nonlinear drift are considered. We do not impose coercivity conditions on coefficients. A novel method of proof for establishing existence and uniqueness of the mild solution is proposed. Examples on stochastic partial differential equations and stochastic delay differential equations are provided to demonstrate the theory developed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-16T05:45:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10",
      "60H15",
      "60G51",
      "47H05",
      "47J35"
    ],
    "keywords": [
      "multiplicative poisson noise",
      "monotone nonlinearity",
      "stochastic partial differential equations",
      "semilinear stochastic evolution equations",
      "stochastic delay differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.3908S"
    }
  }
}