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arXiv · 2608.24379

Hierarchical local null controllability for a non-degenerate quasi-linear parabolic system

Cristian Loli·George J. Bautista·Juan Limaco·Rafael Lobosco·Dany Nina-Huaman·Luis P. Yapu
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Abstract

In this manuscript, we are concerned with the hierarchical control of a non-degenerate quasi-linear parabolic system, posed on a bounded interval. We use the Stackelberg-Nash strategy with a single control called leader and two controls called followers. First, we study the controllability for the linear system, where we will demonstrate a Carleman inequality associated with the adjoint problem. Then, using the results obtained for the linear case and applying Liusternik's Inverse Function Theorem, we obtain local null controllability for the quasi-linear problem.

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Cristian Loli, George J. Bautista, Juan Limaco, Rafael Lobosco, Dany Nina-Huaman, Luis P. Yapu. 2026-08-25. Hierarchical local null controllability for a non-degenerate quasi-linear parabolic system. https://arxiv.org/abs/2608.24379

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