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A spectral inequality for the bi-Laplace operator
Post-edited
Authors : Robbiano, Luc (Author of the conference)
CIRM (Publisher )
35B45 - A priori estimates
35S15 - Boundary value problems for pseudodifferential operators
93B05 - Controllability
93B07 - Observability
CIRM (Publisher )
Abstract :
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.
MSC Codes : 35B45 - A priori estimates
35S15 - Boundary value problems for pseudodifferential operators
93B05 - Controllability
93B07 - Observability
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/12/15 Conference Date : 09/11/15 Subseries : Research talks arXiv category : Analysis of PDEs ; Optimization and Control Mathematical Area(s) : PDE ; Control Theory & Optimization Format : MP4 (.mp4) - HD Video Time : 00:54:48 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-11-09_Robbiano.mp4 
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Information on the Event
Event Title : Controllability of partial differential equations and applications / Contrôle des EDP et applicationsEvent Organizers : Dermenjian, Yves ; Cristofol, Michel ; Gaitan, Patricia ; Le Rousseau, Jérôme ; Yamamoto, Masahiro Dates : 09/11/15 - 13/11/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1368.html
Citation Data
DOI : 10.24350/CIRM.V.18890703Cite this video as: 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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