{
  "titles": [
    {
      "title": "Paracontrolled distributions and singular PDEs"
    }
  ],
  "creators": [
    {
      "name": "Gubinelli, Massimiliano",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "Massimiliano"
    },
    {
      "name": "Imkeller, Peter",
      "nameType": "Personal",
      "familyName": "Imkeller",
      "givenName": "Peter"
    },
    {
      "name": "Perkowski, Nicolas",
      "nameType": "Personal",
      "familyName": "Perkowski",
      "givenName": "Nicolas"
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2012,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "5",
  "url": "https://arxiv.org/abs/1210.2684v4",
  "dates": [
    {
      "date": "2012-10-09",
      "dateType": "Issued"
    },
    {
      "date": "2017-08-15",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex"
  ],
  "subjects": [
    {
      "subject": "math.PR",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math-ph",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.AP",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.MP",
      "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 introduce an approach to study certain singular PDEs which is based on techniques from paradifferential calculus and on ideas from the theory of controlled rough paths. We illustrate its applicability on some model problems like differential equations driven by fractional Brownian motion, a fractional Burgers type SPDE driven by space-time white noise, and a non-linear version of the parabolic Anderson model with a white noise potential.",
      "descriptionType": "Abstract"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:1210.2684v4",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.1210.2684",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    }
  ]
}