{
  "id": "1310.3927",
  "version": "v2",
  "published": "2013-10-15T06:26:28.000Z",
  "updated": "2013-11-22T01:11:41.000Z",
  "title": "Harnack inequalities for SDEs driven by cylindrical $α$-stable processes",
  "authors": [
    "Linlin Wang",
    "Xicheng Zhang"
  ],
  "comment": "11",
  "categories": [
    "math.PR"
  ],
  "abstract": "By using the coupling argument, we establish the Harnack and log-Harnack inequalites for stochastic differential equations with non-Lipschitz drifts and driven by additive anisotropic subordinated Brownian motions (in particular, cylindrical $\\alpha$-stable processes). Moreover, the gradient estimate is also derived when the drift is Lipschitz continuous.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-22T01:11:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10"
    ],
    "keywords": [
      "stable processes",
      "sdes driven",
      "harnack inequalities",
      "additive anisotropic subordinated brownian motions",
      "cylindrical"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.3927W"
    }
  }
}