Exact controllability of the wave equation with Neumann boundary condition and time-dependent coefficients
Marcelo Moreira Cavalcanti (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Marcelo Moreira Cavalcanti (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Serge Nicaise (1992)
Revista Matemática de la Universidad Complutense de Madrid
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We set a coupled boundary value problem between two domains of different dimension. The first one is the unit cube of Rn, n C [2,3], with a crack and the second one is the crack. this problem comes from Ciarlet et al. (1989), that obtained an analogous coupled problem. We show that the solution has singularities due to the crack. As in Grisvard (1989), we adapt the Hilbert uniqueness method of J.-L. Lions (1968,1988) in order to obtain the exact controllability of the associated wave...
Vilmos Komornik (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Larbi Afifi, Abdelhakim Chafiai, Abdelhaq El Jai (2001)
International Journal of Applied Mathematics and Computer Science
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In this paper we show how to find convenient boundary actuators, termed boundary efficient actuators, ensuring finite-time space compensation of any boundary disturbance. This is the so-called remediability problem. Then we study the relationship between this remediability notion and controllability by boundary actuators, and hence the relationship between boundary strategic and boundary efficient actuators. We also determine the set of boundary remediable disturbances, and for a boundary...
Serge Nicaise (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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W. Chickouche, Serge Nicaise (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
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Regularity results for transmission problems in domains with (outgoing) cuspidal points are considered. We prove in some special but generic situations that the solution is piecewise in .