{
  "id": "0911.1644",
  "version": "v4",
  "published": "2009-11-09T11:41:38.000Z",
  "updated": "2012-11-19T06:34:50.000Z",
  "title": "Harnack inequality for SDE with multiplicative noise and extension to Neumann semigroup on nonconvex manifolds",
  "authors": [
    "Feng-Yu Wang"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/10-AOP600 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2011, Vol. 39, No. 4, 1449-1467",
  "doi": "10.1214/10-AOP600",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "By constructing a coupling with unbounded time-dependent drift, dimension-free Harnack inequalities are established for a large class of stochastic differential equations with multiplicative noise. These inequalities are applied to the study of heat kernel upper bound and contractivity properties of the semigroup. The main results are also extended to reflecting diffusion processes on Riemannian manifolds with nonconvex boundary.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-11-19T06:34:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harnack inequality",
      "multiplicative noise",
      "neumann semigroup",
      "nonconvex manifolds",
      "heat kernel upper bound"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.1644W"
    }
  }
}