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arXiv · 2007.13624

On Single Measurement Stability for the Fractional Calderón Problem

Angkana Rüland
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Abstract

In this short note we prove the logarithmic stability of the single measurement uniqueness result for the fractional Calderón problem which had been derived in \cite{GRSU18}. To this end, we use the quantitative uniqueness results established in \cite{RS20a} and complement these bounds with a boundary doubling estimate. The latter yields control of the order of vanishing of solutions to the fractional Schrödinger equation. Then, following a scheme introduced in \cite{S10,ASV13} in the context of the determination of a surface impedance from far field measurements, this allows us to deduce logarithmic stability of the potential $q$.

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Angkana Rüland. 2020-11-21. On Single Measurement Stability for the Fractional Calderón Problem. https://arxiv.org/abs/2007.13624

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