APJul 5, 2016
Uniqueness and stability of time and space-dependent conductivity in a hyperbolic cylindrical domainL. Beilina, M. Cristofol, S. Li
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.