Abstract.
We consider the wave equations with local viscoelastic damping distributed around the boundary of a bounded open set \(\Omega \subset \mathbb{R}^{N} .\) We show that the energy of the wave equations goes uniformly and exponentially to zero for all initial data of finite energy.
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This author supported partially the National Natural Sciences Foundation grant 10271111.
Received: February 8, 2005; revised: July 3, 2005
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Liu, K., Rao, B. Exponential stability for the wave equations with local Kelvin–Voigt damping. Z. angew. Math. Phys. 57, 419–432 (2006). https://doi.org/10.1007/s00033-005-0029-2
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DOI: https://doi.org/10.1007/s00033-005-0029-2