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Exponential instability in an inverse problem for the Schrodinger equation

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posted on 2006-01-16, 10:42 authored 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.

History

School

  • Science

Department

  • Mathematical Sciences

Pages

143867 bytes

Publication date

2001

Notes

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.

Language

  • en

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    Loughborough Publications

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