Issue |
ESAIM: COCV
Volume 27, 2021
|
|
---|---|---|
Article Number | 10 | |
Number of page(s) | 30 | |
DOI | https://doi.org/10.1051/cocv/2021006 | |
Published online | 08 March 2021 |
Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions
1
School of Mathematical Sciences, Fudan University,
Shanghai
200433, P.R. China.
2
Shanghai Key Laboratory for Contemporary Applied Mathematics; Nonlinear Mathematical Modeling and Methods Laboratory,
Shanghai
200433, P.R. China.
3
Institut de Recherche Mathématique Avancée, Université de Strasbourg,
67084
Strasbourg, France.
4
School of Mathematical Sciences, Qufu Normal University,
Qufu
273165, P.R. China.
* Corresponding author: dqli@fudan.edu.cn
Received:
8
November
2019
Accepted:
7
January
2021
In this paper, we first give an algebraic characterization of uniqueness of continuation for a coupled system of wave equations with coupled Robin boundary conditions. Then, the approximate boundary controllability and the approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary controls are developed around this fundamental characterization.
Mathematics Subject Classification: 93B05 / 93B07 / 93C20
Key words: Kalman’s criterion / uniqueness of continuation / Robin boundary controls / approximate boundary synchronization by groups
© EDP Sciences, SMAI 2021
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