Andrade, DohertyFatori, Luci H.Munoz Rivera, Jaime E.2021-07-162021-07-162006-04-28Andrade, D., Fatori, L. H., & Muñoz Rivera, J. E. (2006). Nonlinear transmission problem with a dissipative boundary condition of memory type. <i>Electronic Journal of Differential Equations, 2006</i>(53), pp. 1-16.1072-6691https://hdl.handle.net/10877/13926We consider a differential equation that models a material consisting of two elastic components. One component is clamped while the other is in a viscoelastic fluid producing a dissipative mechanism on the boundary. So, we have a transmission problem with boundary damping condition of memory type. We prove the existence of a global solution and its uniformly decay to zero as time approaches infinity. More specifically, the solution decays exponentially provided the relaxation function decays exponentially.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalWave equationAsymptotic behaviorMemoryArticle