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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPETKOV, Vesselin
dc.date.accessioned2024-04-04T03:11:34Z
dc.date.available2024-04-04T03:11:34Z
dc.date.issued2016-11-21
dc.identifier.issn1930-8337
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193788
dc.description.abstractEnWe examine the location of the eigenvalues of the generator G of a semi-group V (t) = e tG , t ≥ 0, related to the wave equation in an unbounded domain Ω ⊂ R d with dissipative boundary condition ∂ν u − γ(x)∂tu = 0 on Γ = ∂Ω. We study two cases: (A) : 0 < γ(x) < 1, ∀x ∈ Γ and (B) : 1 < γ(x), ∀x ∈ Γ. We prove that for every 0 < 1, the eigenvalues of G in the case (A) lie in the region Λ = {z ∈ C : | Re z| ≤ C Im z| 1 2 + + 1), Re z < 0}, while in the case (B) for every 0 < 1 and every N ∈ N the eigenvalues lie in Λ ∪ R N , where 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.publisherAIMS American Institute of Mathematical Sciences
dc.subject.endissipative boundary conditions
dc.subject.enlocation of the spectrum of a generator
dc.subject.enasymptotically disapearing solitions
dc.title.enLOCATION OF EIGENVALUES FOR THE WAVE EQUATION WITH DISSIPATIVE BOUNDARY CONDITIONS
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Théorie spectrale [math.SP]
bordeaux.journalInverse Problems and Imaging
bordeaux.page1111-1139
bordeaux.volume10
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01256216
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01256216v1
bordeaux.COinSctx_ver=Z39.88-2004&amp;rft_val_fmt=info:ofi/fmt:kev:mtx:journal&amp;rft.jtitle=Inverse%20Problems%20and%20Imaging&amp;rft.date=2016-11-21&amp;rft.volume=10&amp;rft.issue=4&amp;rft.spage=1111-1139&amp;rft.epage=1111-1139&amp;rft.eissn=1930-8337&amp;rft.issn=1930-8337&amp;rft.au=PETKOV,%20Vesselin&amp;rft.genre=article


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