Null controllability for wave equations with memory
From MaRDI portal
Publication:2404482
DOI10.1016/j.matpur.2017.05.001zbMath1370.93051arXiv1507.02359OpenAlexW2963627874MaRDI QIDQ2404482
Qi Lü, Zhang, X., Enrique Zuazua
Publication date: 19 September 2017
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.02359
moving controlcoupled PDE-ODE systemmemory-type null controllabilitymoving geometric control conditionwave equations with memory
Controllability (93B05) Observability (93B07) Wave equation (35L05) Linear constitutive equations for materials with memory (74D05)
Related Items (26)
Solvability of the boundary-value problem for a linear loaded integro-differential equation in an infinite three-dimensional domain ⋮ Interpolation and approximation via momentum ResNets and neural ODEs ⋮ Approximate controllability of nonsimple elastic plate with memory ⋮ Null-controllability properties of the wave equation with a second order memory term ⋮ On a Fractional Diffusion Equation with Moving Control ⋮ Local null-controllability for some quasi-linear phase-field systems with Neumann boundary conditions by one control force ⋮ Null controllability for a degenerate population equation with memory ⋮ Controllability to rest of the Gurtin-Pipkin model ⋮ Finite codimensional controllability and optimal control problems with endpoint state constraints ⋮ Controllability of Evolution Equations with Memory ⋮ Stability and Eigenvalue Asymptotics of Multi-Dimensional Fully Magnetic Effected Piezoelectric System with Friction-Type Infinite Memory ⋮ Controllability for degenerate/singular parabolic systems involving memory terms ⋮ Lack of null controllability of viscoelastic flows ⋮ Simultaneous exact boundary controllability of final state and nodal profile for quasilinear hyperbolic systems ⋮ Exact boundary controllability of nodal profile for nonautonomous quasilinear hyperbolic systems ⋮ Exact controllability of stochastic differential equations with memory ⋮ Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics ⋮ Null Controllability of the Structurally Damped Wave Equation on the Two-Dimensional Torus ⋮ Controllability for semilinear heat equation with globally Lipschitz nonlinearities and memory term ⋮ On the controllability of some equations of Sobolev-Galpern type ⋮ Controllability of shadow reaction-diffusion systems ⋮ Approximate and null controllability for the multidimensional Coleman-Gurtin model ⋮ Approximate and mean approximate controllability properties for Hilfer time-fractional differential equations ⋮ Dynamics and control for multi-agent networked systems: A finite-difference approach ⋮ Flow decomposition for heat equations with memory ⋮ Null-controllability properties of a fractional wave equation with a memory term
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Null controllability of a system of viscoelasticity with a moving control
- On the control of the wave equation by memory-type boundary condition
- Geometric control condition for the wave equation with a time-dependent observation domain
- Exact boundary controllability of an integrodifferential equation
- A systematic method for building smooth controls for smooth data
- Reachability problems for a class of integro-differential equations
- Controllability and observability of a heat equation with hyperbolic memory kernel
- Rapid exact controllability of the wave equation by controls distributed on a time-variant subdomain
- Stability of memory reconstruction from the Dirichlet-to-Neumann operator
- Exact boundary controllability in thermoelasticity with memory.
- Inverse problems of memory reconstruction
- Rapid exact controllability of the semilinear wave equation
- Boundary controllability and source reconstruction in a viscoelastic string under external traction
- Heat equation with memory in anisotropic and non-homogeneous media
- Exact controllability of the distributed system, governed by string equation with memory
- Exact controllability for hyperbolic thermoelastic systems with large memory
- A general theory of heat conduction with finite wave speeds
- An abstract Volterra equation with applications to linear viscoelasticity
- Wave propagation aspects of the generalized theory of heat conduction
- Boundary Controllability and Observability of a Viscoelastic String
- Distributed Systems with Persistent Memory
- Exact controllability in viscoelasticity of fading memory type
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- On the Linear Theory of Heat Conduction for Materials with Memory
- Control of a Second-Order Integro-Differential Equation
- Remarks on non controllability of the heat equation with memory
- Exact controllability of the 1-d wave equation from a moving interior point
- Null Controllability of the Structurally Damped Wave Equation with Moving Control
- Controllability of Evolution Equations with Memory
- Unique continuation for hyperbolic equations with memory
- On heat conduction in materials with memory
- Controllability of the heat equation with memory
This page was built for publication: Null controllability for wave equations with memory
