Examples of instability in inverse boundary-value problems

Published under licence by IOP Publishing Ltd
, , Citation Giovanni Alessandrini 1997 Inverse Problems 13 887 DOI 10.1088/0266-5611/13/4/001

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1 Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, Piazzale Europa 1, 34100 Trieste, Italy

Dates

  1. Received 28 February 1997

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0266-5611/13/4/887

Abstract

We consider an inverse boundary-value problem arising in questions of nondestructive testing such as corrosion detection by electrostatic measurements. We construct examples which show that, for this problem, logarithmic stability is the best possible.

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10.1088/0266-5611/13/4/001