| Issue |
ESAIM: COCV
Volume 30, 2024
|
|
|---|---|---|
| Article Number | 10 | |
| Number of page(s) | 31 | |
| DOI | https://doi.org/10.1051/cocv/2023069 | |
| Published online | 28 February 2024 | |
Semi-Classical Observation Suffices for Observability: Wave and Schrödinger Equations
1
Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, Université Paris-Saclay, Bâtiment 307, 91405 Orsay Cedex & CNRS UMR 8628 & Institut Universitaire de France, France
2
Université de Tunis El Manar, Faculté des Sciences de Tunis, 2092 El Manar & Ecole Nationale d’Ingénieurs de Tunis, ENIT-LAMSIN, B.P. 37, 1002 Tunis, Tunisia
3
Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications, LAGA, CNRS, UMR 7539, F-93430, Villetaneuse, France
* Corresponding author: jlr@math.univ-paris13.fr
Received:
2
June
2023
Accepted:
22
September
2023
For the linear wave and Schrödinger equations we show how observability can be deduced from the observability of solutions localized in frequency with a dyadic scale.
Mathematics Subject Classification: 35L05 / 35L20 / 93B07
Key words: Observability / frequency filtering / wave equation / Schrödinger equation
© The authors. Published by EDP Sciences, SMAI 2024
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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