Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain

Abstract

This paper is devoted to the reconstruction of the time and space-dependent coefficient in an infinite cylindrical hyperbolic domain. Using a local Carleman estimate we prove the uniqueness and a Hölder stability in the determining of the conductivity by a single measurement on the lateral boundary. Our numerical examples show good reconstruction of the location and contrast of the conductivity function in three dimensions.

arXiv admin note: text overlap with arXiv:1501.01384

References in corpus (2)

• Domain decomposition finite element/finite difference method for the conductivity reconstruction in a hyperbolic equation
• Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary

Cited by in corpus (1)

• Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations