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hal.structure.identifierDipartimento di Matematica
dc.contributor.authorCOLOMBINI, Ferruccio
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPETKOV, Vesselin
hal.structure.identifierDepartment of Mathematics - University of Michigan
dc.contributor.authorRAUCH, Jeffery
dc.date.accessioned2024-04-04T03:11:35Z
dc.date.available2024-04-04T03:11:35Z
dc.date.created2016-09-25
dc.date.issued2016-09
dc.identifier.issn0921-7134
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193789
dc.description.abstractEnLet V (t) = e tG b , t ≥ 0, be the semigroup generated by Maxwell's equations in an exterior domain Ω ⊂ R 3 with dissipative boundary condition Etan − γ(x)(ν ∧ Btan) = 0, γ(x) > 0, ∀x ∈ Γ = ∂Ω. We prove that if γ(x) is nowhere equal to 1, then for every 0 < 1 and every N ∈ N the eigenvalues of G b lie in the region Λ ∪ R N , where Λ = {z ∈ C : | Re z| ≤ C Im z| 1 2 + + 1), Re z < 0}, R N = {z ∈ C : | Im z| ≤ C N (| Re z| + 1) −N , Re z < 0}.
dc.description.sponsorshipOpérateurs non-autoadjoints, analyse semiclassique et problèmes d'évolution - ANR-11-BS01-0019
dc.language.isoen
dc.publisherIOS Press
dc.rights.urihttp://hal.archives-ouvertes.fr/licences/copyright/
dc.subject.enMaxwell's equations
dc.subject.endissipative boundary conditions
dc.subject.enasymptotically disappearing solutions
dc.title.enEIGENVALUES FOR MAXWELL'S EQUATIONS WITH DISSIPATIVE BOUNDARY CONDITIONS
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
bordeaux.journalAsymptotic Analysis
bordeaux.volume99
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1-2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01256467
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01256467v1
bordeaux.COinSctx_ver=Z39.88-2004&amp;rft_val_fmt=info:ofi/fmt:kev:mtx:journal&amp;rft.jtitle=Asymptotic%20Analysis&amp;rft.date=2016-09&amp;rft.volume=99&amp;rft.issue=1-2&amp;rft.eissn=0921-7134&amp;rft.issn=0921-7134&amp;rft.au=COLOMBINI,%20Ferruccio&amp;PETKOV,%20Vesselin&amp;RAUCH,%20Jeffery&amp;rft.genre=article


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