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arXiv · 1211.1419

Inverse boundary value problem for Schrödinger equation in cylindrical domain by partial boundary data

Oleg Yu Imanuvilov·Masahiro Yamamoto
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Abstract

Let $Ω\subset \Bbb R^2$ be a bounded domain with $\partialΩ\in C^\infty$ and $L$ be a positive number. For a three dimensional cylindrical domain $Q=Ω\times (0,L)$, we obtain some uniqueness result of determining a complex-valued potential for the Schrödinger equation from partial Cauchy data when Dirichlet data vanish on a subboundary $(\partialΩ\setminus\widetildeΓ) \times [0,L]$ and the corresponding Neumann data are observed on $\widetildeΓ\times [0,L]$, where $\widetildeΓ$ is an arbitrary fixed open set of $\partialΩ.$

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Oleg Yu Imanuvilov, Masahiro Yamamoto. 2012-11-06. Inverse boundary value problem for Schrödinger equation in cylindrical domain by partial boundary data. https://doi.org/10.1088/0266-5611%2F29%2F4%2F045002

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