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

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...

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Veröffentlicht in:	Zeitschrift für angewandte Mathematik und Mechanik 2004-02, Vol.84 (2), p.75-85
Hauptverfasser:	Ang, D.D., Mennicken, R., Thanh, D.N., Trong, D.D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Cauchy data cavity identification elliptic equation Exact sciences and technology Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0044-2267 1521-4001
DOI:	10.1002/zamm.200310119