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arXiv · 2002.04475

Control and exponential stability for a transmission problem of a viscoelastic wave equation

Remi Buffe·Marcelo Cavalcanti·Valéria Domingos Cavalcanti·Ludovick Gagnon
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Abstract

In this article, we consider the energy decay of a viscoelastic wave in an heterogeneous medium. To be more specific, the medium is composed of two different homogeneous medium with a memory term located in one of the medium. We prove exponential decay of the energy of the solution under geometrical and analytical hypothesis on the memory term.

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Remi Buffe, Marcelo Cavalcanti, Valéria Domingos Cavalcanti, Ludovick Gagnon. 2020-02-11. Control and exponential stability for a transmission problem of a viscoelastic wave equation. https://arxiv.org/abs/2002.04475

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