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arXiv · 2207.07598

Stable determination of an anisotropic inclusion in the Schr\"odinger equation from local Cauchy data

Sonia Foschiatti·Eva Sincich
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Abstract

We consider the inverse problem of determining an inclusion contained in a body for a Schr\"odinger type equation by means of local Cauchy data. Both the body and the inclusion are made by inhomogeneous and anisotropic materials. Under mild a priori assumptions on the unknown inclusion, we establish a logarithmic stability estimate in terms of the local Cauchy data. In view of possible applications, we also provide a stability estimate in terms of an ad-hoc misfit functional.

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Sonia Foschiatti, Eva Sincich. 2022-07-15. Stable determination of an anisotropic inclusion in the Schr\"odinger equation from local Cauchy data. https://doi.org/10.3934/ipi.2022063

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