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arXiv · 2312.04983

An Inverse Problem with Partial Neumann Data and $L^{n/2}$ Potentials

Leonard Busch·Leo Tzou
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Abstract

We consider a partial data inverse problem with unbounded potentials. Rather than rely on functional analytic arguments or Carleman estimates, we construct an explicit Green's function with which we construct complex geometric optics (CGO) solutions and show unique determinability of potentials in $L^{n/2}$ for the Schr\"odinger equation with partial Neumann data.

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Leonard Busch, Leo Tzou. 2023-12-08. An Inverse Problem with Partial Neumann Data and $L^{n/2}$ Potentials. https://doi.org/10.3934/ipi.2024030

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