Stable Dirichlet observability and controllability for the evolution isotropic Lame system with variable coefficients

Abstract

The stable Dirichlet observability and exact controllability from boundary for evolution, variable coefficients Lamé system is stated. The observability is proved first for a special sequence of solutions by the use of semiclassical measure analysis. Then one concept coming from G. Lebeau is applied. The controllability is achieved by the use of H.U.M.