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Boundary Controllability for a Degenerate Wave Equation in Nondivergence Form with Drift

open access: yesSIAM Journal on Control and Optimization, 2023
We consider a degenerate wave equation with drift in presence of a leading operator which is not in divergence form. We provide some conditions for the boundary controllability of the associated Cauchy problem.
Dimitri Mugnai, Genni Fragnelli
exaly   +9 more sources
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On the Stability of a Degenerate Wave Equation Under Fractional Feedbacks Acting on the Degenerate Boundary

Journal of Dynamical and Control Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abbes Benaïssa
exaly   +3 more sources

Boundary controllability for a degenerate and singular wave equation

open access: yesMathematical Methods in the Applied Sciences, 2022
In this paper, we deal with the boundary controllability of a one‐dimensional degenerate and singular wave equation with degeneracy and singularity occurring at the boundary of the spatial domain. Exact boundary controllability is proved in the range of both subcritical and critical potentials and for sufficiently large time, through a boundary ...
Jawad Salhi
exaly   +3 more sources

Exact controllability for some degenerate wave equations

Mathematical Methods in the Applied Sciences, 2020
In this paper, we study one‐dimensional linear degenerate wave equations with a distributed controller. We establish observability inequalities for degenerate wave equation by multiplier method. We also deduce the exact controllability for degenerate wave equation by Hilbert uniqueness method when the control acts on the nondegenerate boundary ...
Jinyan Bai, Shugen Chai
exaly   +2 more sources

Stability for degenerate wave equations with drift under simultaneous degenerate damping

open access: yesJournal of Differential Equations
In this paper we study the stability of two different problems. The first one is a one-dimensional degenerate wave equation with degenerate damping, incorporating a drift term and a leading operator in non-divergence form. In the second problem we consider a system that couples degenerate and non-degenerate wave equations, connected through ...
Mohammad Akil, Genni Fragnelli
exaly   +6 more sources

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