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 (2)

• The stability for the Cauchy problem for elliptic equations
• Quantitative estimates of unique continuation for parabolic equations, determination of unknown time-varying boundaries and optimal stability estimates

Cited by in corpus (2)

• Strong unique continuation for second order hyperbolic equations with time independent coefficients
• Optimal stability in the identification of a rigid inclusion in an isotropic Kirchhoff-Love plate