@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 consider the stability in the inverse problem consisting in the determination of an electric potential $q$, appearing in a Dirichlet initial-boundary value problem for the wave equation $\\partial_t^2u-\\Delta u+q(x)u=0$ in an unbounded wave guide $\\Omega=\\omega\\times\\R$ with $\\omega$ a bounded smooth domain of $\\R^2$, from boundary observations. The observation is given by the Dirichlet to Neumann map associated to a wave equation. We prove a Hölder stability estimate in the determination of $q$ from the Dirichlet to Neumann map. Moreover, provided that the gap between two electric potentials rich its maximum in a fixed bounded subset of $\\overline{\\Omega}$, we extend this result to the same inverse problem with measurements on a bounded subset of the lateral boundary $(0,T)\\times\\partial\\Omega$.
            """ ;
    dct:identifier "hal-00824508" ;
    dct:issued "2026-05-11T01:54:07.209025"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-11T01:54:07.209029"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Stability of the determination of a coefficient for wave equations in an infinite waveguide" ;
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            vcard:fn "CCSD" ] ;
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    dcat:keyword "35r30-35l20",
        "equation-des-ondes",
        "guide-donde",
        "infoeu-reposemanticsarticle",
        "journal-articles",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "problemes-inverses" ;
    dcat:landingPage <ISSN:%201930-8337> .

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    dct:issued "2026-05-11T01:54:07.217855"^^xsd:dateTime ;
    dct:modified "2026-05-11T01:54:07.198566"^^xsd:dateTime ;
    dct:title "Stability of the determination of a coefficient for wave equations in an infinite waveguide" ;
    dcat:accessURL <https://hal.science/hal-00824508> .

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