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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

Received 26 April 2004

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.