{
  "titles": [
    {
      "title": "Rough evolution equations"
    }
  ],
  "creators": [
    {
      "name": "Gubinelli, Massimiliano",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "Massimiliano"
    },
    {
      "name": "Tindel, Samy",
      "nameType": "Personal",
      "familyName": "Tindel",
      "givenName": "Samy"
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2008,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "2",
  "url": "https://arxiv.org/abs/0803.0552v2",
  "dates": [
    {
      "date": "2008-03-04",
      "dateType": "Issued"
    },
    {
      "date": "2010-01-26",
      "dateType": "Available"
    },
    {
      "date": "2026-11-14",
      "dateType": "Updated"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf"
  ],
  "subjects": [
    {
      "subject": "math.PR",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.FA",
      "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 generalize Lyons' rough paths theory in order to give a pathwise meaning to some nonlinear infinite-dimensional evolution equation associated to an analytic semigroup and driven by an irregular noise. As an illustration, we discuss a class of linear and nonlinear 1d SPDEs driven by a space–time Gaussian noise with singular space covariance and Brownian time dependence.",
      "descriptionType": "Abstract"
    },
    {
      "description": "Journal reference: Annals of Probability 2010, Vol. 38, No. 1, 1-75",
      "descriptionType": "SeriesInformation"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:0803.0552v2",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.0803.0552",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    },
    {
      "relatedIdentifier": "10.1214/08-AOP437",
      "relatedIdentifierType": "DOI",
      "relationType": "IsPreprintOf"
    }
  ]
}