The Local Complex Calderón Problem: Stability in a Layered Medium for a Special Type of Anisotropic Admittivity
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.
Authors
- Sonia Foschiatti (ORCID: https://orcid.org/0000-0002-3505-2295)
- Romina Gaburro (ORCID: https://orcid.org/0000-0002-6186-0712)
- Eva Sincich (ORCID: https://orcid.org/0000-0002-7405-1842)
Institutions
- University of Vienna (AT)
- University of Trieste (IT)
- University of Limerick (IE)
Publication Details
- Journal
- SIAM Journal on Mathematical Analysis
- Published
- 2025-08-05
- DOI
- https://doi.org/10.1137/24m1682762
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Isaac Newton Institute for Mathematical Sciences
- Science Foundation Ireland
- Austrian Science Fund
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni
- Engineering and Physical Sciences Research Council