{
  "id": "0810.5063",
  "version": "v2",
  "published": "2008-10-28T15:58:30.000Z",
  "updated": "2011-10-04T20:07:50.000Z",
  "title": "Structural properties of semilinear SPDEs driven by cylindrical stable processes",
  "authors": [
    "Enrico Priola",
    "Jerzy Zabczyk"
  ],
  "comment": "This version is almost identical with the one published in Probab. Theory Related Fields. We have also corrected some constants appearing in Theorem 4.16 and Hypothesis 5.6",
  "journal": "Probab. Theory Related Fields 149 (2011), 97-137",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "We consider a class of semilinear stochastic evolution equations driven by an additive cylindrical stable noise.We investigate structural properties of the solutions like Markov, irreducibility, stochastic continuity, Feller and strong Feller properties, and study integrability of trajectories. The obtained results can be applied to semilinear stochastic heat equations with Dirichlet boundary conditions and bounded and Lipschitz nonlinearities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-04T20:07:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47D07",
      "60H15",
      "60J75",
      "35R60"
    ],
    "keywords": [
      "semilinear spdes driven",
      "structural properties",
      "cylindrical stable processes",
      "semilinear stochastic evolution equations driven",
      "semilinear stochastic heat equations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.5063P"
    }
  }
}