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Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems
Authors:
Gen Nakamura and Jenn-Nan Wang
Journal:
Trans. Amer. Math. Soc. 358 (2006), 2837-2853
MSC (2000):
Primary 35B60, 74B05; Secondary 74G75
Posted:
February 6, 2006
MathSciNet review:
2216248
Full-text PDF Free Access
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Additional Information
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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Additional Information
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:
http://dx.doi.org/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.
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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