An inverse problem related to layered elastic plate

An infinite plate consisting elastic isotropic layers of various thickness and elastic properties is considered. It is assumed that a point force is applied normally to a boundary of the plate. An inverse problem of finding parameters of the elastic plate is studied. Under some assumptions it is proved that the displacements vector measured on the boundary of the plate uniquely determines elasticity modules and density of layers as well as their thickness. A procedure of recovering parameters from the data is given.