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arXiv · 1801.02988

Stability results for viscoelastic wave equation with dynamic boundary conditions

Akram Ben Aissa·Mohamed Ferhat
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Abstract

In this paper we consider wave viscoelastic equation with dynamic boundary condition in a bounded domain, we establish a general decay result of energy by exploiting the frequency domain method which consists in combining a contradiction argument and a special analysis for the resolvent of the operator of interest with assumptions on past history relaxation function.

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Akram Ben Aissa, Mohamed Ferhat. 2018-01-07. Stability results for viscoelastic wave equation with dynamic boundary conditions. https://doi.org/10.1007/s00033-018-0983-0

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