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Authors: ABDELAZIZ LIMAM, BENYATTOU BENABDERRAHMANE, YAMNA BOUKHATEM.
Received 09 April 2021; Accepted 08 October 2021. Published Online: 2024-03-20
Published Print: 2024-03-30
pp. 171-182
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This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via by the acoustic boundary conditions on a portion of the boundary. The semigroup theory is used to show the well posedness and regularity of the initial and boundary value problem. Moreover, we investigate exponential stability of the system taking into account Gearhart-Prüss'' theorem.
Mathematics Subject Classification (2010): 35A01, 74B05, 93D15.
Keywords: Viscoelastic damping, acoustic boundary conditions, well posedness, exponential stability.
