A Hölder stability estimate for a 3D coefficient inverse problem for a hyperbolic equation with a plane wave

Abstract A 3D coefficient inverse problem for a hyperbolic equation with non-overdetermined data is considered. The forward the Cauchy initial condition being delta function concentrated at single plane (i.e. wave). certain associated operator written in finite differences respect to two out of three spatial variables, i.e. “partial differences”. grid step size bounded from below by fixed number. Carleman estimate applied obtain, first time, Hölder stability this problem. Another new result an amplitude term expansion solution near characteristic wedge.