Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domain
Preprint, 2016

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.


Larisa Beilina

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Michel Cristofol

Shumin Li