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

preprint2014arXivOpen access

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 Rn\mathbb{R}^n, from a knowledge, in a finite time observation, of overdetermined boundary data for initial boundary value problem for anisotropic wave equation.

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