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Exponential instability in an inverse problem for the Schrodinger equation

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preprint
posted on 16.01.2006, 10:42 by N. Mandache
We consider the problem of the determination of the potential from the Dirichlet to Neumann map of the Schrodinger operator.We show that this problem is severely ill posed. The results extend to the electrical impedance tomography.They show that the logarithmic stability results of Alessandrini are optimal.

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  • Science

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  • Mathematical Sciences

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143867 bytes

Publication date

2001

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This pre-print was published in the journal, Inverse Problems [© IoP]. The definitive version: MANDACHE, N., 2001. Exponential instability in an inverse problem for the Schrodinger equation. Inverse Problems, 17(5), pp.1435-1444, is available at: http://www.iop.org/EJ/journal/IP.

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