A unified strategy for observability of waves in an annulus with various boundary conditions
| hal.structure.identifier | Équipe Méthodes et Algorithmes en Commande [LAAS-MAC] | |
| dc.contributor.author | BAUDOUIN, Lucie | |
| hal.structure.identifier | Institut de Mathématiques de Toulouse UMR5219 [IMT] | |
| dc.contributor.author | DARDÉ, Jérémi | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ERVEDOZA, Sylvain | |
| hal.structure.identifier | Universidad Tecnica Federico Santa Maria [Valparaiso] [UTFSM] | |
| dc.contributor.author | MERCADO, Alberto | |
| dc.date.accessioned | 2024-04-04T02:42:40Z | |
| dc.date.available | 2024-04-04T02:42:40Z | |
| dc.date.created | 2022-01-22 | |
| dc.date.issued | 2022-01 | |
| dc.identifier.issn | 1582-3067 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191263 | |
| dc.description.abstractEn | In this work, we develop a unified strategy which allows to derive observability results for waves in an annulus when the observation is done on the external boundary and under various boundary conditions at the internal boundary. Our approach is based on the fact that the observability of a linear abstract conservative system is equivalent to a suitable resolvent estimate. We develop a full machinery to derive suitable resolvent estimates under some weak assumptions on the boundary condition on the internal sphere, which are shown to be close to sharp. In fact, our strategy allows to exclude the existence of trapped rays close to the internal sphere when the boundary conditions satisfy a suitable assumption. As an application, we apply our results to several wave models. | |
| dc.description.sponsorship | Nouvelles directions en contrôle et stabilisation: Contraintes et termes non-locaux - ANR-20-CE40-0009 | |
| dc.description.sponsorship | Centre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040 | |
| dc.language.iso | en | |
| dc.publisher | Romanian Academy of Sciences | |
| dc.title.en | A unified strategy for observability of waves in an annulus with various boundary conditions | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| bordeaux.journal | Mathematical Reports | |
| bordeaux.page | 59-112 | |
| bordeaux.volume | 24 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1-2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03401646 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03401646v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Reports&rft.date=2022-01&rft.volume=24&rft.issue=1-2&rft.spage=59-112&rft.epage=59-112&rft.eissn=1582-3067&rft.issn=1582-3067&rft.au=BAUDOUIN,%20Lucie&DARD%C3%89,%20J%C3%A9r%C3%A9mi&ERVEDOZA,%20Sylvain&MERCADO,%20Alberto&rft.genre=article |
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