{
  "titles": [
    {
      "title": "Non-linear Rough Heat Equations"
    }
  ],
  "creators": [
    {
      "name": "Deya, A.",
      "nameType": "Personal",
      "familyName": "Deya",
      "givenName": "A."
    },
    {
      "name": "Gubinelli, M.",
      "nameType": "Personal",
      "familyName": "Gubinelli",
      "givenName": "M."
    },
    {
      "name": "Tindel, S.",
      "nameType": "Personal",
      "familyName": "Tindel",
      "givenName": "S."
    }
  ],
  "publisher": {
    "name": "Papers of Massimiliano Gubinelli"
  },
  "publicationYear": 2009,
  "types": {
    "resourceTypeGeneral": "Preprint"
  },
  "version": "1",
  "url": "https://arxiv.org/abs/0911.0618v1",
  "dates": [
    {
      "date": "2009-11-03",
      "dateType": "Issued"
    },
    {
      "date": "2009-11-03",
      "dateType": "Available"
    }
  ],
  "language": "en",
  "formats": [
    "application/pdf",
    "application/x-tex"
  ],
  "subjects": [
    {
      "subject": "math.PR",
      "subjectScheme": "arXiv"
    },
    {
      "subject": "math.AP",
      "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": "This article is devoted to define and solve an evolution equation of the form $dy_t=\\Delta y_t dt+ dX_t(y_t)$, where $\\Delta$ stands for the Laplace operator on a space of the form $L^p(\\mathbb{R}^n)$, and $X$ is a finite dimensional noisy nonlinearity whose typical form is given by $X_t(\\varphi)=\\sum_{i=1}^N x^{i}_t f_i(\\varphi)$, where each $x=(x^{(1)},...,x^{(N)})$ is a $\\gamma$-Hölder function generating a rough path and each $f_i$ is a smooth enough function defined on $L^p(\\mathbb{R}^n)$. The generalization of the usual rough path theory allowing to cope with such kind of systems is carefully constructed.",
      "descriptionType": "Abstract"
    }
  ],
  "relatedIdentifiers": [
    {
      "relatedIdentifier": "arXiv:0911.0618v1",
      "relatedIdentifierType": "arXiv",
      "relationType": "IsIdenticalTo"
    },
    {
      "relatedIdentifier": "10.48550/arXiv.0911.0618",
      "relatedIdentifierType": "DOI",
      "relationType": "IsVersionOf"
    }
  ]
}