%0 Journal Article
%T Nonlinear transmission problem with a dissipative boundary condition of memory type
%A Doherty Andrade
%A Luci Harue Fatori
%A Jaime E. Munoz Rivera
%J Electronic Journal of Differential Equations
%D 2006
%I Texas State University
%X We 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.
%K Wave equation
%K asymptotic behavior
%K memory.
%U http://ejde.math.txstate.edu/Volumes/2006/53/abstr.html