Lipschitz Stability of an Inverse Boundary Value Problem for Time-harmonic Elastic Waves , Part I : Recovery of the Density

We study the inverse boundary value problem for the time-harmonic elastic waves. We focus on the recovery of the density and assume the sti↵ness tensor to be isotropic. The data are the Dirichlet-to-Neumann map. We establish a Lipschitz type stability estimate assuming that the density is piecewise constant with an underlying domain partitioning consisting… CONTINUE READING