Asymptotic of the dissipative eigenvalues of Maxwell’s equations
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PETKOV, Vesselin | |
| dc.date.accessioned | 2024-04-04T02:35:09Z | |
| dc.date.available | 2024-04-04T02:35:09Z | |
| dc.date.issued | 2023-09-05 | |
| dc.identifier.issn | 0921-7134 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190611 | |
| dc.description.abstractEn | Let $\Omega = \R^3 \setminus \bar{K}$, where $K$ is an open bounded domain with smooth boundary $\Gamma$. Let $V(t) = e^{tG_b},\: t \geq 0,$ be the semigroup related to Maxwell's equations in $\Omega$ with dissipative boundary condition $\nu \wedge (\nu \wedge E)+ \gamma(x) (\nu \wedge H) = 0, \gamma(x) > 0, \forall x \in \Gamma.$ We study the case when $\gamma(x) \neq 1, \: \forall x \in \Gamma,$ and we establish a Weyl formula for the counting function of the eigenvalues of $G_b$ in a polynomial neighbourhood of the negative real axis. | |
| dc.language.iso | en | |
| dc.publisher | IOS Press | |
| dc.subject.en | Dissipative boundary conditions | |
| dc.subject.en | Dissipative eigenvalues | |
| dc.subject.en | Weyl formula | |
| dc.title.en | Asymptotic of the dissipative eigenvalues of Maxwell’s equations | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.journal | Asymptotic Analysis | |
| bordeaux.page | 345-367 | |
| bordeaux.volume | 134 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3-4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-04027781 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04027781v1 | |
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