Theoretical analysis of a multi-objective controllability problem for the linear wave equation on a non-cylindrical domain
Analysis of PDEs
2025-04-02 v2
Abstract
In this article, we investigate certain theoretical aspects of the hierarchical controllability problem in one-dimensional wave equations within a moving domain using Stackelberg strategy. The controls are applied along a portion of the boundary and establish an equilibrium strategy among them, considering a leader control and a follower. We consider a linear wave equation.
Cite
@article{arxiv.2503.23522,
title = {Theoretical analysis of a multi-objective controllability problem for the linear wave equation on a non-cylindrical domain},
author = {Pedro Paulo A. Oliveira and Isaías P. de Jesus and Gilcenio R. de Sousa-Neto},
journal= {arXiv preprint arXiv:2503.23522},
year = {2025}
}
Comments
14 pages