paper

Theoretical analysis of a multi-objective controllability problem for the linear wave equation on a non-cylindrical domain

arXiv:2503.23522

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.

14 pages

Theoretical analysis of a multi-objective controllability problem for the linear wave equation on a non-cylindrical domain · wovepaper