no. 11-12
Optimal control
Kalman's criterion on the uniqueness of continuation for the nilpotent system of wave equations
[Critère de Kalman sur l'unicité de la continuation pour le système nilpotent d'équations des ondes]

Présenté par : Philippe G. Ciarlet

Li, Tatsien1, 2, 3 ; Rao, Bopeng1, 4
1 School of Mathematical Sciences, Fudan University, Shanghai 200433, China
2 Shanghai Key Laboratory for Contemporary Applied Mathematics, Shanghai, China
3 Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai, China
4 Institut de recherche mathématique avancée, Université de Strasbourg, 67084 Strasbourg, France
Comptes Rendus. Mathématique, Tome 356 (2018) no. 11-12, pp. 1188-1194.

Dans cette Note, nous considérons un système d'équations des ondes couplées par une matrice nilpotente avec la condition aux limites homogène de Dirichlet. Nous établissons l'unicité de la solution si l'observation partielle de Neumann satisfait le critère de Kalman.

In this Note, we consider a system of wave equations coupled by a nilpotent matrix with homogeneous Dirichlet boundary condition. We establish the uniqueness of the solution when partial Neumann observation satisfies Kalman's rank condition.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.09.006
Li, Tatsien 1, 2, 3 ; Rao, Bopeng 1, 4

1 School of Mathematical Sciences, Fudan University, Shanghai 200433, China
2 Shanghai Key Laboratory for Contemporary Applied Mathematics, Shanghai, China
3 Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai, China
4 Institut de recherche mathématique avancée, Université de Strasbourg, 67084 Strasbourg, France 
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     title = {Kalman's criterion on the uniqueness of continuation for the nilpotent system of wave equations},
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Li, Tatsien; Rao, Bopeng. Kalman's criterion on the uniqueness of continuation for the nilpotent system of wave equations. Comptes Rendus. Mathématique, Tome 356 (2018) no. 11-12, pp. 1188-1194. doi : 10.1016/j.crma.2018.09.006. http://www.numdam.org/articles/10.1016/j.crma.2018.09.006/

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