%0 Journal Article
%T Energy decay for solutions to semilinear systems of elastic waves in exterior domains
%A Marcio V. Ferreira
%A Gustavo P. Menzala
%J Electronic Journal of Differential Equations
%D 2006
%I Texas State University
%X We consider the dynamical system of elasticity in the exterior of a bounded open domain in 3-D with smooth boundary. We prove that under the effect of "weak" dissipation, the total energy decays at a uniform rate as $t o +infty$, provided the initial data is "small" at infinity. No assumptions on the geometry of the obstacle are required. The results are then applied to a semilinear problem proving global existence and decay for small initial data.
%K Uniform stabilization
%K exterior domain
%K system of elastic waves
%K semilinear problem.
%U http://ejde.math.txstate.edu/Volumes/2006/65/abstr.html