Stability of the solution to inverse obstacle scattering problem

Details Stability of the solution to inverse obstacle scattering problem Stability of the solution to inverse obstacle scattering problem

2000-01-07

arxiv.org/abs/math-ph/0001012v1

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

Physics

Mathematical Physics

Scientific paper

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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