Weyl formula for the negative dissipative eigenvalues of Maxwell's equations
| hal.structure.identifier | Dipartimento di Matematica | |
| dc.contributor.author | COLOMBINI, Ferruccio | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PETKOV, Vesselin | |
| dc.date.accessioned | 2024-04-04T03:04:20Z | |
| dc.date.available | 2024-04-04T03:04:20Z | |
| dc.date.issued | 2018-02-20 | |
| dc.identifier.issn | 0003-889X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193143 | |
| dc.description.abstractEn | Let $V(t) = e^{tG_b},\: t \geq 0,$ be the semigroup generated by Maxwell's equations in an exterior domain $\Omega \subset {\mathbb R}^3$ with dissipative boundary condition $E_{tan}- \gamma(x) (\nu \wedge B_{tan}) = 0, \gamma(x) > 0, \forall x \in \Gamma = \partial \Omega.$ We study the case when $\Omega = \{x \in {\mathbb R^3}:\: |x| > 1\}$ and $\gamma \neq 1$ is a constant. We establish a Weyl formula for the counting function of the negative real eigenvalues of $G_b.$ | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Weyl formula for the negative dissipative eigenvalues of Maxwell's equations | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00013-017-1108-2 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| bordeaux.journal | Archiv der Mathematik | |
| bordeaux.page | 183-195 | |
| bordeaux.volume | 110 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01918287 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01918287v1 | |
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