Polynomial decay for coupled Schrödinger equations with variable coefficients and damped by one Dirichlet boundary feedback.

The main purpose of this paper is to study, under a suitable geometric conditions, the indirect boundary stabilization for coupled Schr #x00F6;dinger equations with variable coefficients and one Dirichlet boundary feedback. The polynomial energy decay rate for smooth solutions is obtained by the combination of the Riemannian geometry method in [Ya1] and the ideas of I. Lasiecka and R. Triggiani in [LT3] . [ABSTRACT FROM AUTHOR]