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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 3 (September 2021)   > Article

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

Abstract

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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