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Stability of the solution to inverse obstacle scattering problem

2000/01/07 by A. G. Ramm
Physics and Astronomy · Mathematics · #math-ph #math.AP #math.MP #msc:35R30 #msc:73D50

paper · pdf

published as Jour. of Inverse and Ill-Posed prob., 2, N3, (1994), 269-275

arxiv created 2000/01/07 · arxiv updated 2009/11/30

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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