Optimal observation of the one-dimensional wave equation
From MaRDI portal
Publication:485157
DOI10.1007/s00041-013-9267-4zbMath1302.93052OpenAlexW2006681194MaRDI QIDQ485157
Emmanuel Trélat, Yannick Privat, Enrique Zuazua
Publication date: 9 January 2015
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.11824/517
Optimality conditions for problems involving partial differential equations (49K20) Observability (93B07) Wave equation (35L05) Harmonic analysis and PDEs (42B37)
Related Items (28)
On the randomised stability constant for inverse problems ⋮ Finding the jump rate for fastest decay in the Goldstein-Taylor model ⋮ Absence of critical points of solutions to the Helmholtz equation in 3D ⋮ How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods ⋮ Non-localization of eigenfunctions for Sturm-Liouville operators and applications ⋮ Randomised observation, control and stabilization of waves ⋮ Analysis and Numerical Solvability of Backward-Forward Conservation Laws ⋮ The cost of controlling strongly degenerate parabolic equations ⋮ Boundary Controllability for a Degenerate Wave Equation in Nondivergence Form with Drift ⋮ Cross-like internal observability of rectangular membranes ⋮ Observability properties of the homogeneous wave equation on a closed manifold ⋮ Optimal location of controllers for the one-dimensional wave equation ⋮ Asymptotics for optimal design problems for the Schrödinger equation with a potential ⋮ The Role of Sensor and Actuator Models in Control of Distributed Parameter Systems ⋮ Observability of rectangular membranes and plates on small sets ⋮ Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions ⋮ Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method ⋮ How to position sensors in thermo-acoustic tomography ⋮ Impulse and Sampled-Data Optimal Control of Heat Equations, and Error Estimates ⋮ Optimal Actuator Design for Semilinear Systems ⋮ The cost of boundary controllability for a parabolic equation with inverse square potential ⋮ Erratum on: ``Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain ⋮ Optimization of non-cylindrical domains for the exact null controllability of the 1D wave equation ⋮ Multilevel selective harmonic modulation via optimal control ⋮ Optimal shape and location of sensors for parabolic equations with random initial data ⋮ Complexity and regularity of maximal energy domains for the wave equation with fixed initial data ⋮ Remarks on Long Time Versus Steady State Optimal Control ⋮ Optimal design of sensors for a damped wave equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains
- Optimal location of the support of the control for the 1-D wave equation: numerical investigations
- Sensors and controllers location in distributed systems - A survey
- On general minimax theorems
- Optimal shape and position of the support for the internal exact control of a string
- Elementary proof for Sion's minimax theorem
- On a theorem of Ingham
- Variational methods in shape optimization problems
- Optimal location of controllers for the one-dimensional wave equation
- Optimal shape and position of the actuators for the stabilization of a string
- Some trigonometrical inequalities with applications to the theory of series
- On some recent advances in shape optimization
- Pseudo-périodicité et séries de Fourier lacunaires
- Some extremal functions in Fourier analysis
- Exact Controllability, Stabilization and Perturbations for Distributed Systems
- Optimal location of measurements for distributed parameter estimation
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- The rate at which energy decays in a damped String
- Fourier Series in Control Theory
- A Spillover Phenomenon in the Optimal Location of Actuators
This page was built for publication: Optimal observation of the one-dimensional wave equation
