Séminaire d'Analyse
Local energy decay and asymptotic profile for the damped wave equation
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Europe/Paris
Salle Pellos (1R2 - 207)
Salle Pellos (1R2 - 207)
Description
We discuss the local energy decay for the (possibly damped) wave equation in the asymptotically Euclidean setting. The analysis is based on resolvent estimates, in particular for the contribution of low frequencies. In even dimensions we provide the asymptotic profile, which improves the optimal estimates. In odd dimensions we improve the best known estimates. This is a joint work with Rayan Fahs.