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Note on the Exponential Stability of the Viscoelastic Wave Equation

Gagnon, Ludovick
arXiv (All) · Papers
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optimization-and-control
In this article, we study the viscoelastic wave equation with a localized history memory term, and without frictional damping. Under the geometric control condition on the memory region, we prove exponential decay of the viscoelastic energy using the Gearhart-Pr{ü}ss-Huang Theorem. We prove in high
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