Exponential stability for the wave equations with local Kelvin–Voigt damping

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.

Authors and Affiliations

1. Department of Applied Mathematics, Zhejiang University, Hangzhou, 310027, China

   Kangsheng Liu

2. Institut Recherche Mathématique Avancée, Université Loius Pasteur de Strasbourg, 7, rue René-Descartes, 67084, Strasbourg Cedex, France

   Bopeng Rao

This author supported partially the National Natural Sciences Foundation grant 10271111.

Received: February 8, 2005; revised: July 3, 2005

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