Work

On the exact observability of Schrödinger equations associated with Laguerre operators

Year: 2025

Type: article

Abstract: In this paper, we consider three systems of Laguerre functions and their corresponding Schrödinger equations. We establish both necessary and sufficient conditions for the exact observability of the Schrödinger equations associated with these Laguerre operators in one dimension, and provide a necessary condition in higher dimensions. These results are deduced from an infinite dimensional version of the Hautus test and the Plancherel-Rotach formula for Laguerre polynomials.

Source: Evolution equations and control theory

DOI: 10.3934/eect.2025063

Author: Longben Wei

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413706137

FWCI: 0.383

Cites: 21

Cited by: 1

Related to: 10