Stability estimates for the inverse boundary value problem by partial Cauchy data

preprint2013arXivOpen access

Abstract

In this paper we study the inverse conductivity problem with partial data in dimension n≥3n\geq 3. We derive stability estimates for this inverse problem if the conductivity has C1,σ(Ωˉ)∩H3/2+σ(Ω)C^{1,σ}(\barΩ)\cap H^{3/2+σ}(Ω) regularity for 0<σ<10<σ<1.

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