Size estimates of unknown boundaries with a Robin-type condition

We deal with the problem of determining an unknown part of the boundary of an electrical conductor that is inaccessible for external observation and where a corrosion process is going on. We obtain estimates of the size of this damaged region from above and below.

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Veröffentlicht in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2017-08, Vol.147 (4), p.727-741
Hauptverfasser: Di Cristo, Michele, Sincich, Eva, Vessella, Sergio
Format: Artikel
Sprache:eng
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Zusammenfassung:We deal with the problem of determining an unknown part of the boundary of an electrical conductor that is inaccessible for external observation and where a corrosion process is going on. We obtain estimates of the size of this damaged region from above and below.
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210516000299