Asymptotics of the number of the interior transmission eigenvalues
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | PETKOV, Vesselin | |
hal.structure.identifier | Laboratoire de Mathématiques Jean Leray [LMJL] | |
dc.contributor.author | VODEV, Georgi | |
dc.date.accessioned | 2024-04-04T02:18:47Z | |
dc.date.available | 2024-04-04T02:18:47Z | |
dc.date.created | 2014-03-16 | |
dc.date.issued | 2017-03-25 | |
dc.identifier.issn | 1664-039X | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189345 | |
dc.description.abstractEn | We prove Weyl asymptotics $N(r) = c r^d + {\mathcal O}_{\epsilon}(r^{d - \kappa + \epsilon})$, $\forall\, 0< \epsilon \ll 1$, for the counting function $N(r) = \sharp\{\lambda_j \in \C \setminus \{0\}:\: |\lambda_j| \leq r^2\}$, $r>1$, of the interior transmission eigenvalues (ITE), $\lambda_j$. Here $0<\kappa\le 1$ is such that there are no (ITE) in the region $\{\lambda\in \C:\: |{\rm Im}\,\lambda|\ge C(| {\rm Re}\,\lambda|+1)^{1-\frac{\kappa}{2}}\}$ for some $C>0$. | |
dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
dc.language.iso | en | |
dc.publisher | European Mathematical Society | |
dc.subject.en | Interior transmission eigenvalues | |
dc.subject.en | Weyl formula with remainder | |
dc.subject.en | eigenvalue-free regions | |
dc.title.en | Asymptotics of the number of the interior transmission eigenvalues | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
dc.identifier.arxiv | 1403.3949 | |
bordeaux.journal | Journal of Spectral Theory | |
bordeaux.page | 1-31 | |
bordeaux.volume | 7 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 1 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00960337 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Non spécifiée | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00960337v1 | |
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