Carleman estimates and simultaneous boundary controllability of uncoupled wave equations

DOI10.1007/s00245-023-10023-3zbMath1529.93045OpenAlexW4380610993MaRDI QIDQ6111041

Louis Roder Tcheugoué Tébou, Carole Louis-Rose

Publication date: 6 July 2023

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-023-10023-3

zbMATH Keywords

Carleman estimatescontrollability problemuncoupled wave equations

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05) Wave equation (35L05) Second-order hyperbolic systems (35L51)

Cites Work

• Stable observation of additive superpositions of partial differential equations
• Indirect controllability of locally coupled wave-type systems and applications
• Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
• Simultaneous observability and stabilization of some uncoupled wave equations
• Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems
• Global exact controllability of semilinear wave equations by a double compactness/uniqueness argument
• Non homogeneous boundary value problems for second order hyperbolic operators
• Exact controllability of second order hyperbolic systems with control in the Dirichlet boundary conditions
• Exact controllability for the semilinear wave equation
• Exact controllability of the wave equation with Neumann boundary control
• Exact controllability in short time for the wave equation
• Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
• Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot
• Exact controllability for semilinear wave equations in one space dimension
• Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time
• Unique continuation for weak solutions of the wave equation plus a potential
• Simultaneous stabilization of a system of interacting plate and membrane
• Boundary null-controllability of 1-D coupled parabolic systems with Kirchhoff-type conditions
• Simultaneous controllability of some uncoupled semilinear wave equations
• Sharp observability estimates for a system of two coupled nonconservative hyperbolic equations
• Controllability of two coupled wave equations on a compact manifold
• On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
• Nonharmonic FOurier series in the control theory of distributed parameter systems
• Explicit observability estimate for the wave equation with potential and its application
• A Rotated Multiplier Applied to the Controllability of Waves, Elasticity, and Tangential Stokes Control
• Global Carleman Estimates for Waves and Applications
• Some Results on the Controllability of Coupled Semilinear Wave Equations: The Desensitizing Control Case
• Internal Observability for Coupled Systems of Linear Partial Differential Equations
• Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
• Hardy Inequalities, Observability, and Control for the Wave and Schrödinger Equations with Singular Potentials
• The Dirichlet–Neumann Boundary Control Problem Associated with Maxwell’s Equations in a Cylindrical Region
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Control and Stabilization for the Wave Equation in a Bounded Domain, Part II
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Boundary Value Control of the Wave Equation in a Spherical Region
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Control and Stabilization for the Wave Equation in a Bounded Domain
• Boundary Observability, Controllability, and Stabilization of Linear Elastodynamic Systems
• A Two-Level Energy Method for Indirect Boundary Observability and Controllability of Weakly Coupled Hyperbolic Systems
• Explicit Observability Inequalities for the Wave Equation with Lower Order Terms by Means of Carleman Inequalities
• On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
• A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
• Boundary Value Control Theory of the Higher-Dimensional Wave Equation, Part II
• Boundary Value Control of the Higher-Dimensional Wave Equation
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