arXiv subjects

Isaías P. de Jesus

Publications and source records attributed to Isaías P. de Jesus.

2 recordsLinked to original sources

arXiv2025

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

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.

math.AP↗

arXiv2012

On the Approximate Controllability of Stackelberg-Nash Strategies for Linear Heat Equations in $\mathbb{R}^N$ with Potentials

In this paper we establish hierarchic control for the linear heat equation in $\re^N$ with potentials. Our strategy is inspired by the techniques developed by J.I. Díaz and J.-L. Lions \cite{DL}; however many new difficulties arise due to lack of compactness of Sobolev embeddings. We manage these adversities by employing similarity variables and weighted Sobolev spaces.

math.OC↗