Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain

Cârstea, Cătălin; Nakamura, Gen; Oksanen, Lauri

doi:10.1090/tran/8014

Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain
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by Cătălin I. Cârstea, Gen Nakamura and Lauri Oksanen PDF

Trans. Amer. Math. Soc. 373 (2020), 3423-3443 Request permission

Abstract:

We consider the inverse boundary value problem of recovering a piecewise homogeneous elastic tensor and a piecewise homogeneous mass density from a localized lateral Dirichlet-to-Neumann or Neumann-to-Dirichlet map for the elasticity equation in the space-time domain. We derive uniqueness for identifying this tensor and density on all domains of homogeneity that may be reached from the part of the boundary where the measurements are taken by a chain of subdomains whose successive interfaces contain a curved portion.

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