Reachable sets of a Lame type dynamical system

By a version of the boundary control method (Belishev, 1986), a Riemannian manifold is recovered via its dynamical boundary inverse data, which correspond to the scalar wave equation, with the help of the virtual sources. We extend this version to the dynamical vector Lam´e-type system. Such an extension is based on studying the structure of the reachable sets. The prospective goal of our study is to solve the inverse problem of recovering parameters of the Lam´e system from the dynamical boundary data