Carleman estimate for an adjoint of a damped beam equation and an application to null controllability
Analysis of PDEs
2019-04-16 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1904.07038,
title = {Carleman estimate for an adjoint of a damped beam equation and an application to null controllability},
author = {Sourav Mitra},
journal= {arXiv preprint arXiv:1904.07038},
year = {2019}
}