Exponential instability in an inverse problem for the Schrodinger equation
preprint
posted on 2006-01-16, 10:42 authored by N. MandacheWe 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 bytesPublication date
2001Notes
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
