English
A spectral inequality for the bi-Laplace operator
Post-edited
Auteurs : Robbiano, Luc (Auteur de la Conférence)
CIRM (Editeur )
35B45 - A priori estimates
35S15 - Boundary value problems for pseudodifferential operators
93B05 - Controllability
93B07 - Observability
CIRM (Editeur )
Résumé :
In this talk we present a inequality obtained with Jérôme Le Rousseau, for sum of eigenfunctions for bi-Laplace operator with clamped boundary condition. These boundary conditions do not allow to reduce the problem for a Laplacian with adapted boundary condition. The proof follow the strategy used for Laplacian, namely we consider a problem with an extra variable and we prove Carleman estimates for this new problem. The main difficulty is to obtain a Carleman estimate up to the boundary.
Codes MSC : 35B45 - A priori estimates
35S15 - Boundary value problems for pseudodifferential operators
93B05 - Controllability
93B07 - Observability
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 17/12/15 Date de captation : 09/11/15 Sous collection : Research talks arXiv category : Analysis of PDEs ; Optimization and Control Domaine : PDE ; Control Theory & Optimization Format : MP4 (.mp4) - HD Durée : 00:54:48 Audience : Researchers Download : https://videos.cirm-math.fr/2015-11-09_Robbiano.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Controllability of partial differential equations and applications / Contrôle des EDP et applicationsOrganisateurs de la rencontre : Dermenjian, Yves ; Cristofol, Michel ; Gaitan, Patricia ; Le Rousseau, Jérôme ; Yamamoto, Masahiro Dates : 09/11/15 - 13/11/15 Année de la rencontre : 2015 URL Congrès : http://conferences.cirm-math.fr/1368.html
Données de citation
DOI : 10.24350/CIRM.V.18890703Citer cette vidéo: Robbiano, Luc (2015). A spectral inequality for the bi-Laplace operator. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18890703 URI : http://dx.doi.org/10.24350/CIRM.V.18890703 |
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