Controllability in a filled domain for a multidimensional wave equation with the singular boundary control

DOI10.1007/BF02405808zbMath0870.93004OpenAlexW2077888733MaRDI QIDQ677271

Sergei A. Ivanov, Sergeĭ Anatol'evich Avdonin, Mikhail I. Belishev

Publication date: 4 September 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68285

zbMATH Keywords

exact controllabilityboundary control problemmultidimensional wave equation

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (11)

Control Norms for Large Control Times ⋮ On the reconstruction of a Riemannian manifold from boundary data: the theory and plan of a numerical experiment ⋮ Reachable states for infinite-dimensional linear systems: old and new ⋮ On the triangular factorization of positive operators ⋮ Non-smooth unobservable states in control problem for the wave equation in \(\mathbb{R}^3\) ⋮ An operator integral in a multidimensional spectral inverse problem ⋮ The BC-method in Multidimensional Spectral Inverse Problem: Theory and Numerical Illustrations ⋮ The dynamical Lame system: regularity of solutions, boundary controllability and boundary data continuation ⋮ On a control problem for the wave equation in R3 ⋮ On a unique recovery of lower-order terms in the wave equation from dynamical boundary measurements ⋮ Boundary control of the Maxwell dynamical system: lack of controllability by topological reasons

Cites Work

• Non homogeneous boundary value problems for second order hyperbolic operators
• Boundary control, wave field continuation and inverse problems for the wave equation
• A generalized internal control for the wave equation in a rectangle
• WAVE BASES IN MULTIDIMENSIONAL INVERSE PROBLEMS
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Boundary Value Control of the Higher-Dimensional Wave Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Controllability in a filled domain for a multidimensional wave equation with the singular boundary control