Boundary controllability for degenerate/singular hyperbolic equations in nondivergence form with drift

2024/02/28 by Genni Fragnelli, Fragnelli, Genni, Dimitri Mugnai +3
Computer Science · Engineering · Mathematics · #35L10 #35L80 #93B05 #93B07 #93D15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2402.18247

openalex publication_date 2024/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

Related

• Boundary controllability for a degenerate wave equation in non divergence form with drift
• Boundary controllability for a 1D degenerate parabolic equation with drift and a singular potential
• Boundary controllability for a 1D degenerate parabolic equation with drift and a singular potential and a Neumann boundary condition
• Null controllability of some degenerate wave equations
• Boundary null controllability of degenerate wave equation as the limit of internal controllability