Stabilité exponentielle de l’equation de Schrödinger amortie en temps discret

This article concerns the discrete-time problem of the damped Schrödinger equation in a bounded domain and the internal stabilization problem is considered. We constructed a well-posed discrete-time scheme and we proved the exponential stability. Numerical simulations are presented to illustrate the theoretical results.

This article concerns the discrete-time problem of the damped Schrödinger equation in a bounded domain and the internal stabilization problem is considered. We constructed a well-posed discrete-time scheme and we proved the exponential stability. Numerical simulations are presented to illustrate the theoretical results.

Damped Schrödinger equation Stabilizability Discrete-time scheme Semi-discrete resolvent

Damped Schrödinger equation Stabilizability Discrete-time scheme Semi-discrete resolvent