Stability estimates for an inverse scattering problem at high frequencies
Analysis of PDEs
2012-05-31 v1
Abstract
We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the low-frequency component of the potential. Then we show that, in the case of a radial potential supported sufficiently near the boundary, infinite resolution can be achieved from measurements of the near-field operator in the monotone case.
Cite
@article{arxiv.1205.6563,
title = {Stability estimates for an inverse scattering problem at high frequencies},
author = {Habib Ammari and Hajer Bahouri and David Dos Santos Ferreira and Isabelle Gallagher},
journal= {arXiv preprint arXiv:1205.6563},
year = {2012}
}