Boundary controllability for degenerate/singular hyperbolic equations in nondivergence form with drift
Genni Fragnelli, Dimitri Mugnai, Amine Sbai
TL;DR
This paper investigates the boundary controllability of a degenerate or singular wave equation with drift in non-divergence form, establishing conditions for control based on energy methods and boundary observability.
Contribution
It introduces new controllability results for degenerate/singular wave equations with drift, focusing on boundary control in non-divergence form.
Findings
Boundary controllability conditions established
Control localized on non-degenerate boundary point
Energy methods and boundary observability used
Abstract
We study the null controllability for a degenerate/singular wave equation with drift in non divergence form. In particular, considering a control localized on the non degenerate boundary point, we provide some conditions for the boundary controllability via energy methods and boundary observability.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering · Differential Equations and Boundary Problems