Carleman estimate for an adjoint of a damped beam equation and an application to null controllability

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:484

Article

Mitra, Sourav¹ 

[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany

关键词: Euler-Bernoulli damped beam equation;    Potential;    Carleman estimate;    Null controllability;   

DOI  :  10.1016/j.jmaa.2019.123718

来源: Elsevier

【 摘 要 】

In this article we consider a control problem of a linear Euler-Bernoulli damped beam equation with potential in dimension one with periodic boundary conditions. We derive a new Carleman estimate for an adjoint of the equation under consideration. Then using a well known duality argument we obtain explicitly the control function which can be used to drive the solution trajectory of the control problem to zero state. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free