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

Ang, D. D. and Mennicken, Reinhard and Thanh, D. N. and Trong, D. D. (2004) Cavity detection by the electric method: The 3-dimensional case. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 84 (2). pp. 75-85. ISSN 0044-2267, 1521-4001

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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.

Item Type: Article
Uncontrolled Keywords: DOMAIN IDENTIFICATION; BOUNDARY MEASUREMENTS; INVERSE PROBLEM; STABLE DETERMINATION; UNIQUE DETERMINATION; ELLIPTIC-EQUATIONS; CRACK DETECTION; STABILITY; elliptic equation; cavity identification; Cauchy data
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 27 Jul 2021 09:04
Last Modified: 27 Jul 2021 09:04
URI: https://pred.uni-regensburg.de/id/eprint/38288

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