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Documents  Robbiano, Luc | enregistrements trouvés : 2

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Research talks;Control Theory and Optimization;Partial Differential Equations

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. 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 ...

35B45 ; 35S15 ; 93B05 ; 93B07

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- 128 p.
ISBN 978-2-85629-131-3

Astérisque , 0283

Localisation : Périodique 1er étage;Réserve

équation de Schrödinger # théorie de Sjöstrand

35J10 ; 35A20 ; 35A27 ; 35A21

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