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

2025/03/30 by Pedro Paulo A. Oliveira, Oliveira, Pedro Paulo A., Isaías Pereira de Jesus +3
Engineering · Mathematics · Medicine · #35R37 #93B05 #93C05 #93C20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2503.23522

openalex publication_date 2025/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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