Multidimensional inverse problems in perturbed stratified media (Q1283892)

The author considers two inverse scattering problems, at a fixed frequency, in perturbed stratified media that have guided waves. First, assuming that the perturbation has compact support in the near field, the uniqueness for determining the speed of propagation of acoustic waves in the perturbed medium is proved. Second, the same is proved if the perturbation decays exponentially.