Exact controllability of a pluridimensional coupled problem.

Título inglés	Exact controllability of a pluridimensional coupled problem.
Título español	Controlabilidad exacta de un problema acoplado pluridimensional.
Autor/es	Nicaise, Serge
Organización	UFR Math. Pur. Appl. Univ. Sci. Tech. Lille Flandres Artois, Villeneuve d Ascq, Francia
Revista	0214-3577
Publicación	1992, 5(1): 91-135, 15 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	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 equation with Dirichlet action on a part of the boundary.
Clasificación UNESCO	120220
Palabras clave español	Ecuaciones diferenciales elípticas ; Problemas de valor de frontera ; Proceso controlable
Código MathReviews	MR1183428
Código Z-Math	Zbl 0760.35012
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