@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-00981167v1> a dcat:Dataset ;
    dct:description """
              We study the initial-boundary value problem for the Hamilton-Jacobi equation with nonlinear diffusion $u_t=\\Delta_p u+|\\nabla u|^q$ in a two-dimensional domain for $q>p>2$. It is known that the spatial derivative of solutions may become unbounded in finite time while the solutions themselves remain bounded. We show that, for suitably localized and monotone initial~data, the gradient blow-up occurs at a single point of the boundary. Such a result was known up to now only in the case of linear diffusion ($p=2$). The analysis in the case $p>2$ is considerably more delicate.
            """ ;
    dct:identifier "hal-00981167" ;
    dct:issued "2026-05-05T13:57:20.556273"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-05T13:57:20.556277"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$-Laplacian diffusion" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00981167v1/resource/acbcfd3c-349d-4142-b528-845dfb34405d> ;
    dcat:keyword "hamilton-jacobi",
        "infoeu-reposemanticspreprint",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "non-linear-diffusion-operator",
        "p-laplacian-evolution-equation",
        "preprints-working-papers-",
        "single-point-gradient-blow-up",
        "singularities" ;
    dcat:landingPage <https://hal.science/hal-00981167> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00981167v1/resource/acbcfd3c-349d-4142-b528-845dfb34405d> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-05T13:57:20.561382"^^xsd:dateTime ;
    dct:modified "2026-05-05T13:57:20.544733"^^xsd:dateTime ;
    dct:title "Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$-Laplacian diffusion" ;
    dcat:accessURL <https://hal.science/hal-00981167> .

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

<https://hal.science/hal-00981167> a foaf:Document .