Controllability for one-dimensional nonlinear wave equations with degenerate damping
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Publication:511748
DOI10.1016/j.sysconle.2016.12.007zbMath1356.93016OpenAlexW2579379247MaRDI QIDQ511748
Xianzheng Zhu, Shugen Chai, Jieqiong Wu
Publication date: 22 February 2017
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2016.12.007
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Wave equation (35L05) Applications of operator theory in systems, signals, circuits, and control theory (47N70)
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Cites Work
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- Null controllability of a system of viscoelasticity with a moving control
- Exact controllability for first order quasilinear hyperbolic systems with internal controls
- Semigroups of linear operators and applications to partial differential equations
- Non homogeneous boundary value problems for second order hyperbolic operators
- Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
- Nonlinear evolution equations - global behavior of solutions
- Exact controllability for semilinear wave equations in one space dimension
- Global solutions to boundary value problems for a nonlinear wave equation in high space dimensions.
- Controllability of the semilinear beam equation
- On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
- Non-linear semi-groups
- A generalized internal control for the wave equation in a rectangle
- Simultaneous controllability of damped wave equations
- Remarks on the Controllability of Some Quasilinear Equations
- Some Results on the Controllability of Coupled Semilinear Wave Equations: The Desensitizing Control Case
- Local Exact Boundary Controllability for Nonlinear Wave Equations
- Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Exact Controllability of the Damped Wave Equation
- Explicit Observability Inequalities for the Wave Equation with Lower Order Terms by Means of Carleman Inequalities
- Global existence and nonexistence for nonlinear wave equations with damping and source terms
- On nonlinear wave equations with degenerate damping and source terms
- Mixed problem for some semi-linear wave equation with a nonhomogeneous condition
- Null Controllability of the Structurally Damped Wave Equation with Moving Control
- Exact controllability of a damped wave equation with distributed controls
