Non-smooth unobservable states in control problem for the wave equation in \(\mathbb{R}^3\)

DOI10.3934/EECT.2014.3.247zbMath1304.35716OpenAlexW2320593909MaRDI QIDQ478958

Aleksei F. Vakulenko, Mikhail I. Belishev

Publication date: 5 December 2014

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2014.3.247

zbMATH Keywords

control problemreachable sets3D wave equationunobservable states

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) PDEs in connection with control and optimization (35Q93) Hyperbolic equations and hyperbolic systems (35Lxx) Qualitative properties of solutions to partial differential equations (35Bxx) General theory of linear operators (47Axx)

Cites Work

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• Controllability in a filled domain for a multidimensional wave equation with the singular boundary control
• Non homogeneous boundary value problems for second order hyperbolic operators
• The Radon transform.
• Reachable and Unreachable Sets in the Scattering Problem for the Acoustical Equation in ${\mathbb{R}}^3$
• s-Points in Three-Dimensional Acoustical Scattering
• Recent progress in the boundary control method
• On a control problem for the wave equation in R3
• Boundary Value Control of the Higher-Dimensional Wave Equation

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