Dirichlet boundary stabilization of the wave equation

By K. Ammari. Asymptotic Analysis, 2002

46 citations recorded by the source corpus.

We consider the stabilization problem for a wave equation. In the case when the geometric control assumption, see [3], is not satisfied, we prove that the energy of system decay with a logarithmic rate for all initial data in the domain of the infinitesimal generator of evolution equation. The technique used consists in deducing the decay estimate from an observability inequality for the associated undamped problem, via sharp regularity results.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4d57deb16f434a7787173323086b2e9743ca89b0

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In Computational Theory and Mathematics

  1. Lahcen Maniar
  2. E. M. A. Benhassi
  3. Said Boulite
  4. Kais Ammari
  5. Serge Nicaise
  6. Julie Valein

In Control and Systems Engineering

  1. Lahcen Maniar
  2. E. M. A. Benhassi
  3. Said Boulite
  4. Kais Ammari
  5. Serge Nicaise
  6. Julie Valein

In Mathematical Physics

  1. Lahcen Maniar
  2. E. M. A. Benhassi
  3. Said Boulite
  4. Kais Ammari

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