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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.

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      Most cited references 15

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      Optical tomography in medical imaging

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        Determining a Magnetic Schrödinger Operator from Partial Cauchy Data

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          Global identifiability for an inverse problem for the Schr�dinger equation in a magnetic field

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            Author and article information

            Journal
            2013-02-28
            1302.7265

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            Custom metadata
            35R30
            This is the article version of a Licentiate thesis. arXiv admin note: text overlap with arXiv:1104.0789 by other authors
            math.AP math-ph math.MP

            Mathematical physics, Analysis, Mathematical & Computational physics

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