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Size estimates of unknown boundaries with a Robin-type condition

Part of: Miscellaneous topics - Partial differential equations Elliptic equations and systems

Published online by Cambridge University Press:  16 March 2017

Michele Di Cristo ,
Eva Sincich  and
Sergio Vessella
Michele Di Cristo
Affiliation:
Politecnico di Milano, Dipartimento di Matematica, Piazza Leonardo da Vinci 32, 20133 Milano, Italy (michele.dicristo@polimi.it)
Eva Sincich
Affiliation:
Università degli Studi di Trieste, Dipartimento di Matematica e Geoscienze, via Valerio 12/1, 34127 Trieste, Italy (esincich@units.it)
Sergio Vessella
Affiliation:
Università di Firenze, Dipartimento di Matematica e Informatica ‘Ulisse Dini’, Viale Morgagni, 67/a 50134 Firenze, Italy (sergio.vessella@dmd.unifi.it)
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Extract

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.

Keywords

inverse problemssize estimatesboundary determination

MSC classification

Secondary: 35J58: Boundary value problems for higher-order elliptic systems 35R30: Inverse problems
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 4 , August 2017 , pp. 727 - 741
Copyright
Copyright © Royal Society of Edinburgh 2017 

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