Identification of anisotropic anomalous region in inverse problems

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Abstract

Unique identifications of anisotropic anomalous regions in inverse conductivity and scattering problems are studied. When a medium with an anisotropic conductivity has an anomalous region, the unique determination of the boundary of the anomalous medium and the conductivity on it are ensured under a very weak condition by measuring many pairs of a voltage potential and an induced current on the boundary of the surrounding body. Using an analogous analysis, the uniqueness of the boundary of an anisotropic anomalous medium and its conductivity on the boundary are also obtained for an inverse scattering problem.

Original languageEnglish
Pages (from-to)1117-1136
Number of pages20
JournalInverse Problems
Volume20
Issue number4
DOIs
StatePublished - Aug 2004

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