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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2001.05155 |
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Table of Contents:
- We show the validity of Nachman's procedure (Ann. Math. 128(3):531-576, 1988) for reconstructing a conductivity function $γ$ in a smooth bounded domain $Ω\subset \mathbb{R}^n$ ($n\geq 3$) from its Dirichlet-to-Neumann map $Λ_γ$ for less regular conductivities, specifically $γ\in H^{3/2,2n}(Ω)$ such that $γ\equiv 1$ near $\partial Ω$. We also obtain a log-type stability estimate for the inverse problem when $γ$ has slightly higher regularity, i.e., $γ\in H^{2-s,n/s}(Ω)$ for $0 < s <1/2$.