@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 """
              We establish a Lipschitz stability estimate for the inverse problem consisting in the determination of the coefficient $\\sigma(t)$, appearing in a Dirichlet initial-boundary value problem for the parabolic equation $\\partial_tu-\\Delta_x u+\\sigma(t)f(x)u=0$, from Neumann boundary data. We extend this result to the same inverse problem when the previous linear parabolic equation in changed to the semi-linear parabolic equation $\\partial_tu-\\Delta_x u=F(t,x,\\sigma(t),u(x,t))$.
            """ ;
    dct:identifier "hal-00673690" ;
    dct:issued "2026-05-26T11:01:19.025454"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-26T11:01:19.025468"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Stability of the determination of a time-dependent coefficient in parabolic equations" ;
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            vcard:fn "CCSD" ] ;
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    dcat:keyword "35r30",
        "determination-of-time-depend-coefficient",
        "infoeu-reposemanticsarticle",
        "inverse-problem",
        "journal-articles",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "parabolic-equation",
        "semi-linear-parabolic-equation",
        "stability-estimate" ;
    dcat:landingPage <ISSN:%202156-8472> .

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    dct:issued "2026-05-26T11:01:19.096589"^^xsd:dateTime ;
    dct:modified "2026-05-26T11:01:18.989500"^^xsd:dateTime ;
    dct:title "Stability of the determination of a time-dependent coefficient in parabolic equations" ;
    dcat:accessURL <https://hal.science/hal-00673690> .

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