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Uniqueness and stability for the determination of boundary defects by electrostatic measurements

Published online by Cambridge University Press:  11 July 2007

L. Rondi
L. Rondi
Affiliation:
SISSA-ISAS, via Beirut 2–4, 34014 Trieste, Italy ([email protected])
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Abstract

The inverse problem of the determination of boundary defects in a planar conductor by a finite number of electrostatic measurements on the boundary is considered. Uniqueness results and stability estimates are proved under essentially minimal regularity assumptions on the data. Finally, Lipschitz estimates for the determination of surface linear cracks are developed.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 5 , October 2000 , pp. 1119 - 1151
Copyright
Copyright © Royal Society of Edinburgh 2000

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