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Determining an anisotropic conductivity by boundary measurements: Stability at the boundary

Giovanni Alessandrini
•
Romina Gaburro
•
Eva Sincich
2024
  • journal article

Periodico
JOURNAL OF DIFFERENTIAL EQUATIONS
Abstract
We consider the inverse problem of determining, the possibly anisotropic, conductivity of a body \Omega ⊂Rn, n ≥3, by means of the so-called local Neumann-to-Dirichlet map on a curved portion \Sigma of its boundary ∂\Omega . Motivated by the uniqueness result for piecewise constant anisotropic conductivities proved in Inverse Problems 33 (2018), 125013, we provide a Hölder stability estimate on \Sigma when the conductivity is a-priori known to be a constant matrix near \Sigma .
DOI
10.1016/j.jde.2023.11.001
WOS
WOS:001123689000001
Archivio
https://hdl.handle.net/11368/3065318
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85177078689
https://www.sciencedirect.com/science/article/pii/S0022039623007167
Diritti
open access
license:creative commons
license uri:http://creativecommons.org/licenses/by/4.0/
FVG url
https://arts.units.it/bitstream/11368/3065318/1/2024_AGS_JDE.pdf
Soggetti
  • Calderón problem

  • Anisotropic conductiv...

  • Stability at the boun...

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