Logarithmic Stability for Coefficients Inverse Problem of Coupled Wave Equations

2020/01/08 by Dou, Fangfang, Yamamoto, Masahiro
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2001.02379

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.

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