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arXiv · 1608.00449

Stability estimate for an inverse problem for the Schr{\"o}dinger equation in a magnetic field with time-dependent coefficient

Ibtissem Ben Aicha
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Abstract

We study the stability issue in the inverse problem of determining the magnetic field and the time-dependent electric potential appearing in the Schr\"odinger equation, from boundary observations. We prove in dimension 3 or greater, that the knowledge of the Dicrichlet-to-Neumann map stably determines the magnetic field and the electric potential.

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Ibtissem Ben Aicha. 2016-08-01. Stability estimate for an inverse problem for the Schr{\"o}dinger equation in a magnetic field with time-dependent coefficient. https://doi.org/10.1063/1.4995606

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