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Stability of the solution to inverse obstacle scattering problem

A. G. Ramm

math-pharXiv:math-ph/0001012

Abstract

It is proved that if the scattering amplitudes at a fixed wavenumber for two obstacles from a certain large class of obstacles differ a little, than the obstacles differ a little. Error estimate is given. It is proved that there is an inversion formula for finding the obstacle from a fixed-energy scattering data.

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