Examples of exponential instability for elliptic inverse problems
Analysis of PDEs
2007-05-23 v1
Abstract
Following a recent paper by N. Mandache (Inverse Problems 17 (2001), pp. 1435-1444), we establish a general procedure for determining the instability character of inverse problems. We apply this procedure to many elliptic inverse problems concerning the determination of defects of various types by different kinds of boundary measurements and we show that these problems are exponentially ill-posed.
Cite
@article{arxiv.math/0303126,
title = {Examples of exponential instability for elliptic inverse problems},
author = {Michele Di Cristo and Luca Rondi},
journal= {arXiv preprint arXiv:math/0303126},
year = {2007}
}
Comments
38 pages