UNIQUE CONTINUATION FOR THE TWO-DIMENSIONAL ANISOTROPIC ELASTICITY SYSTEM AND ITS APPLICATIONS TO INVERSE PROBLEMS
Resource
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 358 (7): 2837-2853
Journal
Transactions of the American Mathematical Society
Journal Volume
358
Journal Issue
7
Pages
2837-2853
Date Issued
2006
Date
2006
Author(s)
NAKAMURA, GEN
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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Type
journal article
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