Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems
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- by Gen Nakamura and Jenn-Nan Wang PDF
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Abstract:
Under some generic assumptions we prove the unique continuation property for the two-dimensional inhomogeneous anisotropic elasticity system. Having established the unique continuation property, we then investigate the inverse problem of reconstructing the inclusion or cavity embedded in a plane elastic body with inhomogeneous anisotropic medium by infinitely many localized boundary measurements.References
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Additional Information
- Gen Nakamura
- Affiliation: Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
- MR Author ID: 190160
- Email: gnaka@math.sci.hokudai.ac.jp
- Jenn-Nan Wang
- Affiliation: Department of Mathematics, National Taiwan University, Taipei 106, Taiwan
- MR Author ID: 312382
- Email: jnwang@math.ntu.edu.tw
- Received by editor(s): January 5, 2004
- Published electronically: February 6, 2006
- Additional Notes: The first author was partially supported by Grant-in-Aid for Scientific Research (B)(2) (No.14340038) of the Japan Society for the Promotion of Science.
The second author was partially supported by the National Science Council of Taiwan. - © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 358 (2006), 2837-2853
- MSC (2000): Primary 35B60, 74B05; Secondary 74G75
- DOI: https://doi.org/10.1090/S0002-9947-06-03938-9
- MathSciNet review: 2216248