Geodesic
Observabilité uniforme de l'équation des ondes 1D
Paola Loreti1 ; Michel Mehrenberger2
1 Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Sapienza Universita' di Roma, Via A. Scarpa 16, 00161 Roma, Italy, loreti@dmmm.uniroma1.it
2 ULP-IRMA 7, rue René Descartes, 67084 Strasbourg, mehrenbe@math.u-strasbg.fr
ESAIM. Proceedings, Tome 25 (2008), pp. 58-79.

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This proceedings is a complement of [7]. 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.
DOI : 10.1051/proc:082505

Paola Loreti 1 ; Michel Mehrenberger 2

1 Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Sapienza Universita' di Roma, Via A. Scarpa 16, 00161 Roma, Italy, loreti@dmmm.uniroma1.it
2 ULP-IRMA 7, rue René Descartes, 67084 Strasbourg, mehrenbe@math.u-strasbg.fr 
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     title = {Observabilit\'e uniforme de l'\'equation des ondes {1D}},
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Paola Loreti; Michel Mehrenberger. Observabilité uniforme de l'équation des ondes 1D. ESAIM. Proceedings, Tome 25 (2008), pp. 58-79. doi : 10.1051/proc:082505. http://geodesic.mathdoc.fr/articles/10.1051/proc:082505/

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