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

Cârstea, CAI; Nakamura, G; Oksanen, L; (2020) Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain. Transactions of the American Mathematical Society , 373 (5) pp. 3423-3443. 10.1090/tran/8014. Green open access

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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.

Type: Article
Title: Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain
Open access status: An open access version is available from UCL Discovery
DOI: 10.1090/tran/8014
Publisher version: https://doi.org/10.1090/tran/8014
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10096420
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