Identification of two independent coefficients with one observation for the Schrödinger operator in an unbounded strip

This article is devoted to prove a stability result for two independent coefficients (each one depending on only one variable) for a Schrödinger operator in an unbounded strip with only one observation on an unbounded subset of the boundary. For that, we first use the global Carleman estimate proved in Cardoulis et al. (2008) 3]. Then, with a Carleman-type estimate for a first order differential operator (cf. Immanuvilov and Yamamoto (2005) 4]) and an energy estimate, we prove the simultaneous identification of the diffusion coefficient and the potential with only one observation.