Volume 27, 2021
|Number of page(s)||30|
|Published online||08 March 2021|
Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions
School of Mathematical Sciences, Fudan University,
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: firstname.lastname@example.org
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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