Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries

Abstract

In this paper we prove stability estimates of logarithmic type for an inverse problem consisting in the determination of unknown portions of the boundary of a domain in ${\mathbb{R}}^n$, from a knowledge, in a finite time observation, of overdetermined boundary data for initial boundary value problem for anisotropic wave equation.

References in corpus (1)

• Quantitative estimates of unique continuation for parabolic equations, determination of unknown time-varying boundaries and optimal stability estimates