Observability of wave equation with Ventcel dynamic condition

Imen Benabbas; Djamel Eddine Teniou

doi:10.3934/eect.2018026

Article Contents

2018, Volume 7, Issue 4: 545-570. Doi: 10.3934/eect.2018026

This issue Previous Article Exact rate of decay for solutions to damped second order ODE's with a degenerate potential Next Article Optimal control for the stochastic FitzHugh-Nagumo model with recovery variable

Observability of wave equation with Ventcel dynamic condition

Imen Benabbas and
Djamel Eddine Teniou^,

Laboratoire AMNEDP, Faculté de mathématiques, USTHB, Alger, Algérie

* Corresponding author: Djamel Eddine Teniou
* Corresponding author: Djamel Eddine Teniou

Received: December 2017

Revised: August 2018

Published: September 2018

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Abstract

The main purpose of this work is to prove a new variant of Mehrenberger's inequality. Subsequently, we apply it to establish several observability estimates for the wave equation subject to Ventcel dynamic condition.

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Mathematics Subject Classification: Primary: 35L10, 93B07; Secondary: 35P20.

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References

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