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.References
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Additional Information
- Cătălin I. Cârstea
- Affiliation: School of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, People’s Republic of China
- Email: catalin.carstea@gmail.com
- Gen Nakamura
- Affiliation: Department of Mathematics, Hokkaido University, Sapporo 060-0808, Japan
- MR Author ID: 190160
- Email: gnaka@math.sci.hokudai.ac.jp
- Lauri Oksanen
- Affiliation: Department of Mathematics, University College London, London, United Kingdom
- MR Author ID: 906909
- ORCID: 0000-0002-3228-7507
- Email: l.oksanen@ucl.ac.uk
- Received by editor(s): March 24, 2019
- Received by editor(s) in revised form: August 28, 2019
- Published electronically: February 19, 2020
- Additional Notes: Cătălin I. Cârstea is the corresponding author
The first author was partially supported by Sichuan University.
The second author was partially supported by Grant-in-Aid for Scientific Research (15K21766, 15H05740) of the Japan Society for the Promotion of Science during the research of this paper.
The third author was supported by EPSRC grants EP/P01593X/1 and EP/R002207/1. - © Copyright 2020 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 373 (2020), 3423-3443
- MSC (2010): Primary 35R30, 35L10
- DOI: https://doi.org/10.1090/tran/8014
- MathSciNet review: 4082243