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Stability for the Calderon’s problem for a class of anisotropic conductivities via an ad hoc misfit functional

Date
2021
Abstract
We address the stability issue in Calderon’s problem for a special class of anisotropic conductivities of the form σ = γA in a Lipschitz domain Ω ⊂ Rn, n ≥ 3, where A is a known Lipschitz continuous matrix-valued function and γ is the unknown piecewise affine scalar function on a given partition of Ω. We define an ad hoc misfit functional encoding our data and establish stability estimates for this class of anisotropic conductivity in terms of both the misfit functional and the more commonly used local Dirichlet-to-Neumann map.
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Description
peer-reviewed
Publisher
IOP Publishing
Citation
Inverse Problems;37 (12)
Collections
Mathematics & Statistics
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Gaburro_2021_Stability.pdf
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Keywords
Calderon's problem, anisotropic conductivity, stability, misfit functional
ULRR Identifiers
https://researchrepository.ul.ie/handle/10344/10933
 https://doi.org/10.34961/4267
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Funding Information
Sustainable Development Goals
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Type
Article
Rights
https://creativecommons.org/licenses/by-nc-sa/1.0/
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