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Pré-Publication, Document De Travail Année : 2014

Indirect stabilization of hyperbolic systems through resolvent estimates

Résumé

We prove a sharp decay rate for the total energy of two classes of systems of weakly coupled hyperbolic equations. We show that we can stabilize the full system through a single damping term, acting on one component only of the system (indirect stabilization). The energy estimate is achieved by means of suitable estimates of the resolvent operator norm. We apply this technique to a system of wave-wave equation and to a wave-Petrovsky system.
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Dates et versions

hal-01101269 , version 1 (08-01-2015)

Identifiants

  • HAL Id : hal-01101269 , version 1

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Roberto Guglielmi. Indirect stabilization of hyperbolic systems through resolvent estimates. 2014. ⟨hal-01101269⟩

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