Stability and instability results of the Kirchhoff plate equation with delay terms on boundary or dynamical boundary controls
Analysis of PDEs
2022-11-21 v2
Abstract
In this paper, we consider the Kirchhoff plate equation with delay terms on the boundary control are added (see system \eqref{p5-2.1} below). we give some instability examples of system \eqref{p5-2.1} for some choices of delays. Finally, we prove its well-posedness, strong stability without any geometric condition and exponential stability under a multiplier geometric control condition.
Keywords
Cite
@article{arxiv.2110.06619,
title = {Stability and instability results of the Kirchhoff plate equation with delay terms on boundary or dynamical boundary controls},
author = {Mohammad Akil and Haidar Badawi and Mohamed Balegh and Zayd Hajjej},
journal= {arXiv preprint arXiv:2110.06619},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2008.11596, arXiv:2007.08316, arXiv:2012.08219