Logarithmic Stability for Coefficients Inverse Problem of Coupled Wave Equations
Analysis of PDEs
2020-11-19 v2
Abstract
This paper investigates the identification of two coefficients in a coupled hyperbolic system with an observation on one component of the solution. Based on the the Carleman estimate for coupled wave equations a logarithmic type stability result is obtained by measurement data only in a suitably chosen subdomain under the assumption that the coefficients are given in a neighborhood of some subboundary.
Cite
@article{arxiv.2001.02379,
title = {Logarithmic Stability for Coefficients Inverse Problem of Coupled Wave Equations},
author = {Fangfang Dou and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:2001.02379},
year = {2020}
}