@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00530850v3> a dcat:Dataset ;
    dct:description """
              By combining the formalism of \\cite{RHE} with a discrete approach close to the considerations of \\cite{Davie}, we interpret and solve the rough partial differential equation $dy_t=A y_t \\, dt+\\sum_{i=1}^m f_i(y_t) \\, dx^i_t$ ($t\\in [0,T]$) on a compact domain $\\mathcal{O}$ of $\\R^n$, where $A$ is a rather general elliptic operator of $L^p(\\mathcal{O})$ ($p>1$), $f_i(\\vp)(\\xi):=f_i(\\vp(\\xi))$ and $x$ is the generator of a $2$-rough path. The (global) existence, uniqueness and continuity of a solution is established under classical regularity assumptions for $f_i$. Some identification procedures are also provided in order to justify our interpretation of the problem.
            """ ;
    dct:identifier "hal-00530850" ;
    dct:issued "2026-05-09T04:14:34.989925"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-09T04:14:34.989929"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "A discrete approach to Rough Parabolic Equations" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00530850v3/resource/7dcdae99-a8d6-4ebd-92cc-a29a25747ef8> ;
    dcat:keyword "60h05-60h07-60g15",
        "fractional-brownian-motion",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "mathmath-prmathematics-mathprobability-mathpr",
        "rough-paths-theory",
        "stochastic-pdes" ;
    dcat:landingPage <ISSN:%201083-6489> .

<ISSN:%201083-6489> a foaf:Document .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00530850v3/resource/7dcdae99-a8d6-4ebd-92cc-a29a25747ef8> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-09T04:14:34.992464"^^xsd:dateTime ;
    dct:modified "2026-05-09T04:14:34.980922"^^xsd:dateTime ;
    dct:title "A discrete approach to Rough Parabolic Equations" ;
    dcat:accessURL <https://hal.science/hal-00530850> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .