Stable determination of surface impedance on a rough obstacle by far field data
Analysis of PDEs
2014-04-16 v1
Abstract
We treat the stability of determining the boundary impedance of an obstacle by scattering data, with a single incident field. A previous result by Sincich (SIAM J. Math. Anal. 38, (2006), 434-451) showed a log stability when the boundary of the obstacle is assumed to be C^{1,1}-smooth. We prove that, when the obstacle boundary is merely Lipschitz, a log-log type stability still holds.
Keywords
Cite
@article{arxiv.1207.5421,
title = {Stable determination of surface impedance on a rough obstacle by far field data},
author = {Giovanni Alessandrini and Eva Sincich and Sergio Vessella},
journal= {arXiv preprint arXiv:1207.5421},
year = {2014}
}
Comments
13 pages, submitted for publication