| Issue |
ESAIM: COCV
Volume 30, 2024
|
|
|---|---|---|
| Article Number | 9 | |
| Number of page(s) | 23 | |
| DOI | https://doi.org/10.1051/cocv/2023081 | |
| Published online | 28 February 2024 | |
D-Observability for a Coupled System of Wave Equations on Right Angle Triangles
School of Mathematics, Hohai University, Nanjing, Jiangsu, PR China
* Corresponding author: chengxiazu@hhu.edu.cn
Received:
1
January
2023
Accepted:
10
November
2023
Based on the tiled method, we establish the equivalence between the D-observability for diagonalizable systems on the rectangular domain and the right angle triangle domain, and then get the sufficiency of Kalman’s rank condition to the D-observability for diagonalizable systems on some right angle triangles.
Mathematics Subject Classification: 93B05 / 93B07 / 93C20 / 35L53
Key words: D-observability / Kalman’s rank condition / diagonalizable systems of wave equations / tiling
© 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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