Increasing stability for the conductivity and attenuation coefficients
Analysis of PDEs
2015-05-04 v1
Abstract
In this work we consider stability of recovery of the conductivity and attenuation coefficients of the stationary Maxwell and Schr\"odinger equations from a complete set of (Cauchy) boundary data. By using complex geometrical optics solutions we derive some bounds which can be viewed as an evidence of increasing stability in these inverse problems when frequency is growing.
Cite
@article{arxiv.1505.00108,
title = {Increasing stability for the conductivity and attenuation coefficients},
author = {Ru-Yu Lai and Victor Isakov and Jenn-Nan Wang},
journal= {arXiv preprint arXiv:1505.00108},
year = {2015}
}