Stability of the solution to inverse obstacle scattering problem
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
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.
Cite
@article{arxiv.math-ph/0001012,
title = {Stability of the solution to inverse obstacle scattering problem},
author = {A. G. Ramm},
journal= {arXiv preprint arXiv:math-ph/0001012},
year = {2007}
}