A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance
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- by V. Bacchelli, M. Di Cristo, E. Sincich and S. Vessella PDF
- Trans. Amer. Math. Soc. 366 (2014), 3965-3995 Request permission
Abstract:
We consider the problem of determining an unaccessible part of the boundary of a conductor by means of thermal measurements. We study a problem of corrosion where a Robin type condition is prescribed on the damaged part and we prove logarithmic stability estimate.References
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Additional Information
- V. Bacchelli
- Affiliation: Department of Mathematics, Politecnico di Milano, 20100 Milan, Italy
- Email: valeria.bacchelli@polimi.it
- M. Di Cristo
- Affiliation: Department of Mathematics, Politecnico di Milano, 20100 Milan, Italy
- Email: michele.dicristo@polimi.it
- E. Sincich
- Affiliation: Department of Mathematics, Università di Trieste, 34014 Trieste, Italy
- Address at time of publication: Laboratory for Multiphase Processes, University of Nova Gorica, Vipavska 13, SI-5000 Nova Gorica, Slovenia
- Email: esincich@units.it, eva.sincich@ung.si
- S. Vessella
- Affiliation: Department of Mathematics, Università di Firenze, 50121 Florence, Italy
- Email: sergio.vessella@unifi.it
- Received by editor(s): September 1, 2011
- Received by editor(s) in revised form: January 23, 2012
- Published electronically: April 7, 2014
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 366 (2014), 3965-3995
- MSC (2010): Primary 35R30, 35R25, 35R35
- DOI: https://doi.org/10.1090/S0002-9947-2014-05807-8
- MathSciNet review: 3206449