Convergence of the Boundary Control for the Wave Equation in Domains with Holes of Critical Size
Nandakumaran, A. K.
Southwest Texas State University, Department of Mathematics
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.
Perforated domain, Exact controllability, Hilbert uniqueness method, Homogenization
Nandakumaran, A. K. (2002). Convergence of the boundary control for the wave equation in domains with holes of critical size. <i>Electronic Journal of Differential Equations, 2002</i>(35), pp. 1-10.
Attribution 4.0 International