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# An Inverse problem for the Magnetic Schr\"odinger Operator on a Half Space with partial data

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### Abstract

In this paper we prove uniqueness for an inverse boundary value problem for the magnetic Schr\"odinger equation in a half space, with partial data. We prove that the curl of the magnetic potential $$A$$, when $$A\in W_{comp}^{1,\infty}(\ov{\R^3_{-}},\R^3)$$, and the electric pontetial $$q \in L_{comp}^{\infty}(\ov{\R^3_{-}},\C)$$ are uniquely determined by the knowledge of the Dirichlet-to-Neumann map on parts of the boundary of the half space.

### Most cited references15

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### Optical tomography in medical imaging

(1999)
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### Determining a Magnetic Schrödinger Operator from Partial Cauchy Data

(2007)
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### Global identifiability for an inverse problem for the Schr�dinger equation in a magnetic field

(1995)
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### Author and article information

###### Journal
2013-02-28
1302.7265