Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 60, pp. 1-10.

Title: Transmission problem for waves with frictional damping

Authors: Waldemar D. Bastos (Univ. Estadual Paulista, Brazil)
         Carlos A. Raposo (Univ. Federal de Sao Joao del-Rei, Brazil)

Abstract:
 In this paper we consider the transmission problem, in one space
 dimension, for linear dissipative waves with frictional damping.
 We study the wave propagation in a medium with a component with
 attrition and another simply elastic. We show that for this type
 of material, the dissipation produced by the frictional part is
 strong enough to produce exponential decay of the solution,
 no matter how small is its size.
  
Submitted June 23, 2006. Published April 22, 2007.
Math Subject Classifications: 35B35, 35B40, 35L05, 35L20.
Key Words: Exponential stability; dissipative system; transmission problem.