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

Abstract

In this paper 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. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA. Weinheim.