JOINT ONE-DIMENSIONAL INVERSE DYNAMIC PROBLEMS FOR SYSTEMS OF HYPERBOLIC EQUATIONS

Abstract

Joint one-dimensional inverse dynamic problems in the porous-elastic medium are considered: for the two-dimensional porous-elastic equation representing the propagation process of the NE wave in the porous half-space, the momentum acting only on the depth and at the boundary of the half-space the problem of determining one of the four parameters of the medium structure independent of the unknown shape of the point source is considered. It has been proved that under certain assumptions about the structure of the source and environment, both one-dimensional unknown functions are single-valued given the displacement of the boundary points. The stability estimates of the solution of the problem are presented.