LOCATION OF EIGENVALUES FOR THE WAVE EQUATION WITH DISSIPATIVE BOUNDARY CONDITIONS
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PETKOV, Vesselin | |
| dc.date.accessioned | 2024-04-04T03:11:34Z | |
| dc.date.available | 2024-04-04T03:11:34Z | |
| dc.date.issued | 2016-11-21 | |
| dc.identifier.issn | 1930-8337 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193788 | |
| dc.description.abstractEn | We 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.sponsorship | Opérateurs non-autoadjoints, analyse semiclassique et problèmes d'évolution - ANR-11-BS01-0019 | |
| dc.language.iso | en | |
| dc.publisher | AIMS American Institute of Mathematical Sciences | |
| dc.subject.en | dissipative boundary conditions | |
| dc.subject.en | location of the spectrum of a generator | |
| dc.subject.en | asymptotically disapearing solitions | |
| dc.title.en | LOCATION OF EIGENVALUES FOR THE WAVE EQUATION WITH DISSIPATIVE BOUNDARY CONDITIONS | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| bordeaux.journal | Inverse Problems and Imaging | |
| bordeaux.page | 1111-1139 | |
| bordeaux.volume | 10 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01256216 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01256216v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Inverse%20Problems%20and%20Imaging&rft.date=2016-11-21&rft.volume=10&rft.issue=4&rft.spage=1111-1139&rft.epage=1111-1139&rft.eissn=1930-8337&rft.issn=1930-8337&rft.au=PETKOV,%20Vesselin&rft.genre=article |
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