Energy and regularity dependent stability estimates for near-field inverse scattering in multidimensions
Analysis of PDEs
2013-06-27 v1
Abstract
We prove new global H\"older-logarithmic stability estimates for the near-field inverse scattering problem in dimension . Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. In addition, a global logarithmic stability estimate for this inverse problem in dimension is also given.
Keywords
Cite
@article{arxiv.1211.4154,
title = {Energy and regularity dependent stability estimates for near-field inverse scattering in multidimensions},
author = {Mikhail Isaev},
journal= {arXiv preprint arXiv:1211.4154},
year = {2013}
}