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arXiv · 2503.23522

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

Pedro Paulo A. Oliveira·Isaías P. de Jesus·Gilcenio R. de Sousa-Neto
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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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Pedro Paulo A. Oliveira, Isaías P. de Jesus, Gilcenio R. de Sousa-Neto. 2025-03-30. Theoretical analysis of a multi-objective controllability problem for the linear wave equation on a non-cylindrical domain. https://arxiv.org/abs/2503.23522

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