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arXiv · 1712.04636

H\"older Stability for an Inverse Medium Problem with Internal Data

Mourad Choulli·Faouzi Triki
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Abstract

We are interested in an inverse medium problem with internal data. This problem is originated from multi-waves imaging. We aim in the present work to study the well-posedness of the inversion in terms of the boundary conditions. We precisely show that we have actually a stability estimate of H\"older type. For sake of simplicity, we limited our study to the class of Helmholtz equations $\Delta$+V with bounded potential V.

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Mourad Choulli, Faouzi Triki. 2017-12-13. H\"older Stability for an Inverse Medium Problem with Internal Data. https://arxiv.org/abs/1712.04636

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