Null controllability of a cascade system of Schrödinger equations

Date

2016-03-17

Authors

Lopez-Garcia, Marcos
Mercado, Alberto
de Teresa, Luz

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article presents a control problem for a cascade system of two linear N-dimensional Schrödinger equations. We address the problem of null controllability by means of a control supported in a region not satisfying the classical geometrical control condition. The proof is based on the application of a Carleman estimate with degenerate weights to each one of the equations and a careful analysis of the system in order to prove null controllability with only one control force.

Description

Keywords

Null controllability, Coupled equations, Schrödinger equation, Non geometrical condition, Carleman inequality

Citation

López-García, M., Mercado, A., & de Teresa, L. (2016). Null controllability of a cascade system of Schrödinger equations. <i>Electronic Journal of Differential Equations, 2016</i>(74), pp. 1-12.

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Attribution 4.0 International

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