Local energy decay for scattering of elastic waves

We show that if $\text{B}$ is a star-shaped body in $\text{R}$³ and u is a solution of the equation of linearized homogeneous isotropic elasticity in the exterior of $\text{B}$ which vanishes on ?$\text{B}$ and has initially compact support, then the rate of decay of the total elastic energy in any sphere of finite radius is bounded by t^? for large values of the time t.