{
  "id": "1108.0343",
  "version": "v3",
  "published": "2011-08-01T15:48:23.000Z",
  "updated": "2013-05-21T16:30:36.000Z",
  "title": "Strong solutions for SPDE with locally monotone coefficients driven by Lévy noise",
  "authors": [
    "Zdzisław Brzeźniak",
    "Wei Liu",
    "Jiahui Zhu"
  ],
  "comment": "44 pages, more examples are added as application of the main results",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "Motivated by applications to a manifold of semilinear and quasilinear stochastic partial differential equations (SPDEs) we establish the existence and uniqueness of strong solutions to coercive and locally monotone SPDEs driven by L\\'{e}vy processes. We illustrate the main result of our paper by showing how it can be applied to various types of SPDEs such as stochastic reaction-diffusion equations, stochastic Burgers type equations, stochastic 2D hydrodynamical systems and stochastic equations of non-Newtonian fluids, which generalize many existing results in the literature.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-05-21T16:30:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "37L30",
      "34D45"
    ],
    "keywords": [
      "locally monotone coefficients driven",
      "strong solutions",
      "lévy noise",
      "quasilinear stochastic partial differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.0343B"
    }
  }
}