H{\"o}lder stability in determining the potential and the damping coefficient in a wave equation
Analysis of PDEs
2016-09-21 v1
Abstract
We improve the preceding results obtained by the first and the second authors in [3]. They concern the stability issue of the inverse problem that consists in determining the potential and the damping coefficient in a wave equation from an initial-to-boundary operator. We partially modify the arguments in [3] to show that actually we have H{\"o}lder stability instead of logarithmic stability.
Keywords
Cite
@article{arxiv.1609.06102,
title = {H{\"o}lder stability in determining the potential and the damping coefficient in a wave equation},
author = {Kais Ammari and Mourad Choulli and Faouzi Triki},
journal= {arXiv preprint arXiv:1609.06102},
year = {2016}
}