Transactions of the American Mathematical Society

Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems

Author(s): Gen Nakamura; Jenn-Nan Wang
Journal: Trans. Amer. Math. Soc. 358 (2006), 2837-2853.
MSC (2000): Primary 35B60, 74B05; Secondary 74G75
Posted: February 6, 2006
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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.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 35B60, 74B05, 74G75

Gen Nakamura
Affiliation: Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
Email: gnaka@math.sci.hokudai.ac.jp

Jenn-Nan Wang
Affiliation: Department of Mathematics, National Taiwan University, Taipei 106, Taiwan
Email: jnwang@math.ntu.edu.tw

DOI: 10.1090/S0002-9947-06-03938-9
PII: S 0002-9947(06)03938-9
Keywords: Unique continuation, anisotropic elasticity system, inverse problems
Received by editor(s): January 5, 2004
Posted: 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 of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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