{
  "titles": [
    {
      "title": "Flow of diffeomorphisms for SDEs with unbounded Hölder continuous drift"
    }
  ],
  "creators": [
    {
      "name": "Flandoli, F.",
      "nameType": "Personal",
      "familyName": "Flandoli",
      "givenName": "F."
    },
    {
      "name": "Gubinelli, M.",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "M."
    },
    {
      "name": "Priola, E.",
      "nameType": "Personal",
      "familyName": "Priola",
      "givenName": "E."
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2009,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "1",
  "url": "https://arxiv.org/abs/0907.3668v1",
  "dates": [
    {
      "date": "2009-07-21",
      "dateType": "Issued"
    },
    {
      "date": "2009-07-21",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex"
  ],
  "subjects": [
    {
      "subject": "math.PR",
      "subjectScheme": "arXiv"
    }
  ],
  "rightsList": [
    {
      "rights": "arXiv.org perpetual, non-exclusive license to distribute; all other rights reserved to the authors",
      "rightsUri": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/"
    }
  ],
  "descriptions": [
    {
      "description": "We consider a SDE with a smooth multiplicative non-degenerate noise and a possibly unbounded Holder continuous drift term. We prove existence of a global flow of diffeomorphisms by means of a special transformation of the drift of Ito-Tanaka type. The proof requires non-standard elliptic estimates in Holder spaces. As an application of the stochastic flow, we obtain a Bismut-Elworthy-Li type formula for the first derivatives of the associated diffusion semigroup.",
      "descriptionType": "Abstract"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:0907.3668v1",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.0907.3668",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    }
  ]
}