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

Saint Jean Paulin, J, Tcheugoué Tébou, LR. (1997). Contrôlabilité exacte interne dans des domaines perforés avec une condition aux limites de Fourier sur le bord des trous . ASYMPTOTIC ANALYSIS, 14(3), 193-221. 10.3233/asy-1997-14301

cited authors

  • Saint Jean Paulin, J; Tcheugoué Tébou, LR

authors

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. © 1997 - IOS Press. All rights reserved.

publication date

  • January 1, 1997

published in

Digital Object Identifier (DOI)

start page

  • 193

end page

  • 221

volume

  • 14

issue

  • 3