Contrôlabilité exacte interne dans des domaines perforés avec une condition aux limites de Fourier sur le bord des trous

Article type: Research Article

Authors: Saint Jean Paulin, Jeannine | Tcheugoué Tébou, Louis Roder

Affiliations: Département de Mathématiques, Université de Metz, Ile du Saulcy, 57045 Metz cedex 1, France

Note: [] Corresponding author.

Abstract: We consider the internal controllability of a generalized wave equation in a periodically perforated domain, with a Fourier type boundary condition on the boundary of the holes. First, we establish by the Hilbert uniqueness method, HUM, introduced by J.L. Lions, the existence of an exact control; afterwards, we prove that the sequence of controls weakly converges to a function which is the exact control of the homogenized system. We also prove a strong convergence result for the sequence of controls.

DOI: 10.3233/ASY-1997-14301

Journal: Asymptotic Analysis, vol. 14, no. 3, pp. 193-221, 1997