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Publication:
Transmission problem for waves with frictional damping April 22, 2007

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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. ©2007 Texas State University.

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Dissipative system, Exponential stability, Transmission problem

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English

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Electronic Journal of Differential Equations, v. 2007, p. 1-10.

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