Controllability for a One-Dimensional Wave Equation in a Non-cylindrical Domain
Analysis of PDEs
2025-02-03 v1
Abstract
This paper deals with the controllability for a one-dimensional wave equation with mixed boundary conditions in a non-cylindrical domain. This equation models small vibrations of a string where an endpoint is fixed and the other is moving. As usual, we consider one main control (the leader) and an additional secondary control (the follower). We use Stackelberg-Nash strategies.
Cite
@article{arxiv.2501.18621,
title = {Controllability for a One-Dimensional Wave Equation in a Non-cylindrical Domain},
author = {Isaías Pereira de Jesus},
journal= {arXiv preprint arXiv:2501.18621},
year = {2025}
}
Comments
20 pages. arXiv admin note: substantial text overlap with arXiv:2501.06672, arXiv:2501.13146