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The operator B*L for the wave equation with Dirichlet control

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  • I. Lasiecka
  • R. Triggiani

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.

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Handle: RePEc:wly:jnlaaa:v:2004:y:2004:i:7:p:625-634
DOI: 10.1155/S1085337504404011
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