On an exact control problem for a semilinear wave equation with an unknown source

DOI10.1016/J.JMAA.2005.10.012zbMath1188.93039OpenAlexW2004891624MaRDI QIDQ820018

N. E. Zubov

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.012

zbMATH Keywords

wave equationexact controlaccretive mappingsfeedback lawssource problem

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Control/observation systems governed by partial differential equations (93C20) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

• Unnamed Item
• Exact controllability for the semilinear wave equation
• Exact boundary controllability on \(L_ 2(\Omega)\times H^{-1}(\Omega)\) of the wave equation with Dirichlet boundary control acting on a portion of the boundary \(\partial \Omega\), and related problems
• Exact controllability for a semilinear wave equation with both interior and boundary controls
• A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Nonlinear accretive operators in Banach spaces

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