Boundary Control and Dynamical Reconstruction of Vector Fields ( the Bc-method )

An approach to the dynamical inverse problems (IP's) based upon their relations to the Boundary Control Theory (the so-called BC-method) is developed. The method is applied to the problem of reconstruction of a vector eld given on a Riemannian manifold via the response operator (the dynamical Dirichlet-to-Neumann map). A peculiarity of the case under consideration is that the operator which governs an evolution of the corresponding dynamical system is nonselfadjoint. The paper announces the results and gives a brief description of technique of the BC-method.