Boundary controllability for a degenerate beam equation
Analysis of PDEs
2023-02-14 v1
Abstract
The paper deals with the controllability of a degenerate beam equation. In particular, we assume that the left end of the beam is fixed, while a suitable control acts on the right end of it. As a first step we prove the existence of a solution for the homogeneous problem, then we prove some estimates on its energy. Thanks to them we prove an observability inequality and, using the notion of solution by transposition, we prove that the initial problem is null controllable.
Cite
@article{arxiv.2302.06453,
title = {Boundary controllability for a degenerate beam equation},
author = {Alessandro Camasta and Genni Fragnelli},
journal= {arXiv preprint arXiv:2302.06453},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2109.12531