Convergence of the Boundary Control for the Wave Equation in Domains with Holes of Critical Size
Date
2002-04-23
Authors
Nandakumaran, A. K.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Perforated domain, Exact controllability, Hilbert uniqueness method, Homogenization
Citation
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.
Rights
Attribution 4.0 International