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 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Spectral%20Theory&rft.date=2017-03-25&rft.volume=7&rft.issue=1&rft.spage=1-31&rft.epage=1-31&rft.eissn=1664-039X&rft.issn=1664-039X&rft.au=PETKOV,%20Vesselin&VODEV,%20Georgi&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||