Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation
Analysis of PDEs
2015-05-28 v1
Abstract
In [2] we introduced a method combining together an observability inequality and a spectral decomposition to get a logarithmic stability estimate for the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. The present work deals with an adaptation of that method to obtain a logarithmic stability estimate for the inverse problem of determining a boundary damping coefficient from boundary measurements. As in our preceding work, the different boundary measurements are generated by varying one of the initial conditions.
Keywords
Cite
@article{arxiv.1505.07248,
title = {Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation},
author = {Kais Ammari and Mourad Choulli},
journal= {arXiv preprint arXiv:1505.07248},
year = {2015}
}