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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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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