Observabilite uniforme de l'equation des ondes 1D

Paola Loreti (1) , Michel Mehrenberger (2, 3)

1 Dipartimento di Scienze di Base e Applicate per l'Ingegneria
2 CALVI - Scientific computation and visualization
3 IRMA - Institut de Recherche Mathématique Avancée

This proceedings is a complement of [7]=hal-01298963. In [7], new Ingham type theorems have been developped in order to establish the uniform observability of the wave equation in 1D. We gather here in a self-contained and compact form several results obtained by the mean of discrete multipliers. In a second part, we give an example of Ingham type inequality where the position of the interval is a key point in the determination of the optimal time. This example enforces the idea that such phenomenon, already mentionned in [7], can occur.

Domaines: Mathématiques [math]

Paola Loreti, Michel Mehrenberger. Observabilite uniforme de l'equation des ondes 1D . ESAIM: Proceedings, 2008, ⟨10.1051/proc:082505⟩. ⟨hal-01298974⟩