Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary

Abstract

We consider the multidimensional inverse problem of determining the conductivity coefficient of a hyperbolic equation in an infinite cylindrical domain, from a single boundary observation of the solution. We prove H{ö}lder stability with the aid of a Carleman estimate specifically designed for hyperbolic waveguides.

References in corpus (2)

• Carleman estimate for infinite cylindrical quantum domains and application to inverse problems
• Inverse boundary value problem for the dynamical heterogeneous Maxwell system

Cited by in corpus (4)

• Domain decomposition finite element/finite difference method for the conductivity reconstruction in a hyperbolic equation
• Simultaneous determination of the drift and diffusion coefficients in stochastic differential equations
• Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain
• Carleman estimate for the Schrödinger equation and application to magnetic inverse problems