Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 35, pp. 1-10.

Title: Convergence of  the  boundary control for the wave
       equation in domains with holes of critical size
   
Author: A. K. Nandakumaran (Indian Inst. of Science, Bangalore, India)

Abstract: 
  In this paper, we consider the homogenization of the exact
  controllability problem for the wave equation in periodically
  perforated domain with holes of critical size.
  We show that the boundary control converges to the boundary
  control of the homogenized system under the assumption that the
  perforations are uniformly away from the boundary.
 
Submitted September 2, 2001. Published April 23, 2002.
Math Subject Classifications: 35L05, 35B37, 93D05.
Key Words:  perforated domain; exact controllability;
            Hilbert uniqueness method; homogenization.