New global stability estimates for the Gel'fand-Calderon inverse problem
Analysis of PDEs
2011-03-03 v3 Mathematical Physics
math.MP
Abstract
We prove new global stability estimates for the Gel'fand-Calderon inverse problem in 3D. For sufficiently regular potentials this result of the present work is a principal improvement of the result of [G. Alessandrini, Stable determination of conductivity by boundary measurements, Appl. Anal. 27 (1988), 153-172].
Keywords
Cite
@article{arxiv.1002.0153,
title = {New global stability estimates for the Gel'fand-Calderon inverse problem},
author = {Roman Novikov},
journal= {arXiv preprint arXiv:1002.0153},
year = {2011}
}