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Zbl 1002.35125
Kwon, Kiwoon; Sheen, Dongwoo
Anisotropic inverse conductivity and scattering problems. (English)
[J] Inverse Probl. 18, No.3, 745-756 (2002). ISSN 0266-5611

Summary: Uniqueness in inverse conductivity and scattering problems is considered. In the case when the medium consists of two discontinuous constant anisotropic conductive parts, the measurements of potential and induced currents on the boundary of the surrounding body are enough to guarantee uniqueness to determine conductivity and a region of embedded unknown material under a very weak condition. The analogous uniqueness result is also obtained for an inverse scattering problem in the case that the medium is composed of two anisotropic and homogeneous materials.

MSC 2000:: *35R30 Inverse problems for PDE
35J05 Laplace equation, etc.
35R05 PDE with discontinuous coefficients or data

Keywords: Dirichlet-to-Neumann map; uniqueness in inverse conductivity and scattering problems; discontinuous anisotropic media; far-field pattern

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Zentralblatt MATH Berlin [Germany]