Abstract and Applied Analysis
Volume 2004 (2004), Issue 7, Pages 625-634
doi:10.1155/S1085337504404011
The operator B*L for the wave equation with Dirichlet control
I. Lasiecka
and R. Triggiani
Department of Mathematics, University of Virginia, Kerchof Hall, Charlottesville 22904, VA, USA
Abstract
In the case of the wave equation, defined on a sufficiently smooth bounded domain of arbitrary dimension, and subject to Dirichlet boundary control, the operator B*L from boundary to boundary is bounded in the L2-sense. The proof combines hyperbolic differential energy methods with a microlocal elliptic component.