CMAP Preprint

CMAP Preprint

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Title: Exponential instability in the inverse scattering problem on the energy intervals

Year: 12/2010

Language: English

Abstract: We consider the inverse scattering problem on the energy interval in three dimensions.
We are focused on stability and instability questions for this problem. In particular, we prove an exponential instability estimate
which shows optimality of the logarithmic stability result of [Stefanov, 1990] (up to the value of the exponent).

Pages:

MSC:

Download: 702.pdf

URL:

Auteurs: Mikhail Isaev

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Title:	Exponential instability in the inverse scattering problem on the energy intervals
Year:	12/2010
Language:	English
Abstract:	We consider the inverse scattering problem on the energy interval in three dimensions. We are focused on stability and instability questions for this problem. In particular, we prove an exponential instability estimate which shows optimality of the logarithmic stability result of [Stefanov, 1990] (up to the value of the exponent).
Pages:
MSC:
Download:	702.pdf
URL:
Auteurs:	Mikhail Isaev