| Issue |
ESAIM: COCV
Volume 29, 2023
|
|
|---|---|---|
| Article Number | 51 | |
| Number of page(s) | 35 | |
| DOI | https://doi.org/10.1051/cocv/2023034 | |
| Published online | 03 July 2023 | |
Sufficient conditions for the controllability of wave equations with a transmission condition at the interface
Université de Lorraine, CNRS, Inria équipe SPHINX, F-54000 Nancy, France
* Corresponding author: ludovick.gagnon@inria.fr
Received:
21
October
2019
Accepted:
27
April
2023
We consider waves travelling in two different mediums each endowed with a different constant speed of propagation. At the interface between the two mediums, the refraction of the rays of the optic geometry obeys the Snell’s law. We provide sufficient conditions on the geometry’ of the mediums and on the speed of propagation for the exact boundary controllability.
Mathematics Subject Classification: 35L05 / 93B05 / 93B07Q3
Key words: Wave equation / controllability / observability / microlocal analysis
© The authors. Published by EDP Sciences, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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