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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 L 2 -sense. The proof combines hyperbolic differential energy methods with a microlocal elliptic component.

Suggested Citation

  • I. Lasiecka & R. Triggiani, 2004. "The operator B * L for the wave equation with Dirichlet control," Abstract and Applied Analysis, Hindawi, vol. 2004, pages 1-10, January.
    • Handle: RePEc:hin:jnlaaa:415602
    DOI: 10.1155/S1085337504404011
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