Carleman Inequalities for Wave Equations with Oscillatory Boundary Conditions and Application
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Publication:2960498
DOI10.1137/15M1032211zbMath1354.93024OpenAlexW2586669896MaRDI QIDQ2960498
Ciprian G. Gal, Louis Roder Tcheugoué Tébou
Publication date: 9 February 2017
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1032211
wave equationboundary controllabilityCarleman inequalityWentzell boundary conditionsdynamical boundary conditionsbounded potentials
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Observability (93B07) Wave equation (35L05)
Related Items (11)
Insensitizing controls for the parabolic equations with dynamic boundary conditions ⋮ Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions ⋮ Null controllability for semilinear heat equation with dynamic boundary conditions ⋮ Exact Controllability for a Schrödinger Equation with Dynamic Boundary Conditions ⋮ Identification of source terms in wave equation with dynamic boundary conditions ⋮ Observability of wave equation with Ventcel dynamic condition ⋮ Longtime behavior of wave equation with kinetic boundary condition ⋮ The cost of approximate controllability of heat equation with general dynamical boundary conditions ⋮ Simultaneous and indirect control of waves: Some recent developments and open problems ⋮ Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions ⋮ Null controllability for a heat equation with dynamic boundary conditions and drift terms
Cites Work
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- Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
- Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems
- Exact controllability of structural acoustic interactions
- The role of surface diffusion in dynamic boundary conditions: where do we stand?
- 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
- Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot
- \(L_2(\Sigma)\)-regularity of the boundary to boundary operator \(B^*L\) for hyperbolic and Petrowski PDEs
- Exact controllability for semilinear wave equations in one space dimension
- Oscillatory boundary conditions for acoustic wave equations
- Coleman-Gurtin type equations with dynamic boundary conditions
- Null controllability for parabolic equations with dynamic boundary conditions
- Sharp observability estimates for a system of two coupled nonconservative hyperbolic equations
- Exact controllability of a cascade system of conservative equations
- Derivation and physical interpretation of general boundary conditions
- Global Carleman Estimates for Waves and Applications
- Some Results on the Controllability of Coupled Semilinear Wave Equations: The Desensitizing Control Case
- Lagrangian variational framework for boundary value problems
- Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
- 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
- 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
- Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
- Exact controllability of a problem of a linear elasticity system with evolutive Ventcel conditions
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