CMAP Preprint

CMAP Preprint

CMAP preprint server - Details about Preprint # 701

Title: Exponential instability in the Gel’fand inverse problem on the energy intervals

Year: 12/2010

Language: English

Abstract: We consider the Gel’fand inverse problem and continue studies of
[Mandache,2001]. We show that the Mandache-type instability remains
valid even in the case of Dirichlet-to-Neumann map given on the energy
intervals. These instability results show, in particular, that the
logarithmic stability estimates of [Alessandrini,1988], [Novikov, Santacesaria,
2010] and especially of [Novikov,2010] are optimal (up to the value
of the exponent).

Pages:

MSC:

Download: 701.pdf

URL:

Auteurs: Mikhail Isaev

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Title:	Exponential instability in the Gel’fand inverse problem on the energy intervals
Year:	12/2010
Language:	English
Abstract:	We consider the Gel’fand inverse problem and continue studies of [Mandache,2001]. We show that the Mandache-type instability remains valid even in the case of Dirichlet-to-Neumann map given on the energy intervals. These instability results show, in particular, that the logarithmic stability estimates of [Alessandrini,1988], [Novikov, Santacesaria, 2010] and especially of [Novikov,2010] are optimal (up to the value of the exponent).
Pages:
MSC:
Download:	701.pdf
URL:
Auteurs:	Mikhail Isaev