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

Nakamura, Gen; Wang, Jenn-Nan

doi:10.1090/S0002-9947-06-03938-9

Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems
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Trans. Amer. Math. Soc. 358 (2006), 2837-2853 Request permission

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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