H\"older Stability for an Inverse Medium Problem with Internal Data
Analysis of PDEs
2018-06-12 v2
Abstract
We are interested in an inverse medium problem with internal data. This problem is originated from multi-waves imaging. We aim in the present work to study the well-posedness of the inversion in terms of the boundary conditions. We precisely show that we have actually a stability estimate of H\"older type. For sake of simplicity, we limited our study to the class of Helmholtz equations +V with bounded potential V.
Cite
@article{arxiv.1712.04636,
title = {H\"older Stability for an Inverse Medium Problem with Internal Data},
author = {Mourad Choulli and Faouzi Triki},
journal= {arXiv preprint arXiv:1712.04636},
year = {2018}
}