Cavity detection by the electric method: The 3-dimensional case

Authors: Đặng Đình Áng, Reinhard Mennicken, Đặng Đức Trọng, Đinh Ngọc Thanh,

https://doi.org/10.1002/zamm.200310119

Publisher, magazine: ,

Publication year: 2004

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Abstract

The authors prove a uniqueness theorem for the electric detection of cavities in a three-dimensional solid from Cauchy data measured on the surface. The cavities, finite in number, are assumed to be insulating. The surfaces of the cavities are assumed to be smooth on the complement of a set that is, in some sense, negligible.

Tags: cavity identification; Cauchy data; uniqueness