# Exponential stability of discrete-time damped Schrödinger equation

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

Imen Nouira
Université de Sousse
Tunisie

Moez Khenissi
Université de Sousse
Tunisie

Published on 6 September 2021   DOI : 10.21494/ISTE.OP.2021.0725

### Mots-clés

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.