@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#> .

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    dct:description """
              This thesis is divided into three parts. In the first part, we study the boundary value problem with measures for the Hamilton-Jacobi equation (E1) $-\\Delta u+g(|\\nabla u|)=0$ in a bounded domain $\\Omega$ in ${\\mathbb R}^N$, satisfying (E2) $u = \\mu$ on $\\partial \\Omega$ and provide a condition on $g$ for which the problem (E1)-(E2) can be solved with any positive bounded measure. When $g(r) \\geq r^q$ with $q>1$, we prove that any positive solution of (E1) admits a boundary trace which is an outer regular Borel measure, not necessarily bounded. When $g(r)=r^q$ with $1
            """ ;
    dct:identifier "tel-00710410" ;
    dct:issued "2026-05-15T14:53:47.380577"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-15T14:53:47.380585"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Boundary trace of solutions to elliptic Hamilton-Jacobi equations and initial trace of solutions to heat equations with superlinear absorption" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00710410v1/resource/b7e3a320-9da9-4f05-b86d-901a0473c490> ;
    dcat:keyword "absorption-faiblement-sur-lineaire",
        "bessel-capacities",
        "borel-measures",
        "boundary-trace",
        "capacites-de-bessel",
        "condition-de-keller-osserman",
        "degenerate-heat-equations",
        "equations-de-la-chaleur-degenerees",
        "equations-elliptiques-quasilineaires",
        "infoeu-reposemanticsdoctoralthesis",
        "initial-trace",
        "isolated-singularities",
        "keller-osserman-condition",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "mesures-de-borel",
        "mesures-de-radon",
        "quasilinear-elliptic-equations",
        "radon-measures",
        "removable-singularities",
        "singularites-eliminables",
        "singularites-isolees",
        "theses",
        "trace-au-bord",
        "trace-initiale",
        "weakly-superlinear-absorption" ;
    dcat:landingPage <https://theses.hal.science/tel-00710410> .

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    dct:issued "2026-05-15T14:53:47.388475"^^xsd:dateTime ;
    dct:modified "2026-05-15T14:53:47.307007"^^xsd:dateTime ;
    dct:title "Boundary trace of solutions to elliptic Hamilton-Jacobi equations and initial trace of solutions to heat equations with superlinear absorption" ;
    dcat:accessURL <https://theses.hal.science/tel-00710410> .

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