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The Local Complex Calderón Problem: Stability in a Layered Medium for a Special Type of Anisotropic Admittivity

Sonia Foschiatti
•
Romina Gaburro
•
Eva Sincich
2025
  • journal article

Periodico
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Abstract
We deal with Calderón's problem in a layered anisotropic medium Ω, ⊂ Rnn ≥ 3, with complex anisotropic admittivity σ =γA, where A is a known Lipschitz matrix-valued function. We assume that the layers of Ω are fixed and known and that γ is an unknown affine complex-valued function on each layer. We provide Hölder and Lipschitz stability estimates of σ in terms of an ad hoc misfit functional as well as the more classical Dirichlet to Neumann map localized on some open portion ∑ of ∂ Ω, respectively.
DOI
10.1137/24M1682762
WOS
WOS:001550830900029
Archivio
https://hdl.handle.net/11368/3114638
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-105014169376
https://epubs.siam.org/doi/10.1137/24M1682762
Diritti
closed access
license:copyright editore
license uri:iris.pri02
FVG url
https://arts.units.it/request-item?handle=11368/3114638
Soggetti
  • Anisotropic Calderon'...

  • complex admittivity

  • stability

  • misfit functional

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