Local recovery of the compressional and shear speeds from the hyperbolic DN map
arXiv:1702.08141 · doi:10.1088/1361-6420/aa9833
Abstract
We study the isotropic elastic wave equation in a bounded domain with boundary. We show that local knowledge of the Dirichlet-to-Neumann map determines uniquely the speed of the p-wave locally if there is a strictly convex foliation with respect to it, and similarly for the s-wave speed.