Bastos, Waldemar D.Raposo, Carlos Alberto2021-08-062021-08-062007-04-22Bastos, W. D., & Raposo, C. A. (2007). Transmission problem for waves with frictional damping. <i>Electronic Journal of Differential Equations, 2007</i>(60), pp. 1-10.1072-6691https://hdl.handle.net/10877/14222In 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalExponential stabilityDissipative systemTransmission problemTransmission problem for waves with frictional dampingArticle