Local recovery of the compressional and shear speeds from the hyperbolic DN map
classification
🧮 math.AP
keywords
localspeedboundaryboundedcompressionalconvexdeterminesdirichlet-to-neumann
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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.
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