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 Cet article a éte moissonné depuis la source EDP Sciences

Voir la notice de l'article

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 
@article{EP_2008_25_a5,
     author = {Paola Loreti and Michel Mehrenberger},
     title = {Observabilit\'e uniforme de l'\'equation des ondes {1D}},
     journal = {ESAIM. Proceedings},
     pages = {58--79},
     year = {2008},
     volume = {25},
     doi = {10.1051/proc:082505},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:082505/}
}
TY  - JOUR
AU  - Paola Loreti
AU  - Michel Mehrenberger
TI  - Observabilité uniforme de l'équation des ondes 1D
JO  - ESAIM. Proceedings
PY  - 2008
SP  - 58
EP  - 79
VL  - 25
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc:082505/
DO  - 10.1051/proc:082505
LA  - en
ID  - EP_2008_25_a5
ER  - 
%0 Journal Article
%A Paola Loreti
%A Michel Mehrenberger
%T Observabilité uniforme de l'équation des ondes 1D
%J ESAIM. Proceedings
%D 2008
%P 58-79
%V 25
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:082505/
%R 10.1051/proc:082505
%G en
%F EP_2008_25_a5
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

Cité par Sources :