Energy decay for the elastic wave equation with a local time-dependent nonlinear damping
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Publication:943556
DOI10.1007/s10114-007-6468-2zbMath1149.35008OpenAlexW2143067694MaRDI QIDQ943556
Publication date: 9 September 2008
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-007-6468-2
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Classical linear elasticity (74B05) Second-order nonlinear hyperbolic equations (35L70)
Related Items (6)
Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping ⋮ On uniform decay for transmission problem of Kirchhoff type viscoelastic wave equation ⋮ Internal observability, controllability and stabilization of the inhomogeneous and anisotropic elastic wave equation ⋮ Local energy decay for the wave equation with a nonlinear time-dependent damping ⋮ Multiscale model reduction for stochastic elasticity problems using ensemble variable-separated method ⋮ Exact controllability for the Lamé system
Cites Work
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- Exponential decay for the semilinear wave equation with localized damping in unbounded domains
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Stabilization of the wave equation with localized nonlinear damping
- Implications of sharp trace regularity results on boundary stabilization of the system of linear elasticity
- Decay of solutions of the wave equation with arbitrary localized nonlinear damping
- Decay of solutions of the wave equation with a local nonlinear dissipation
- Decay for the solutions of nonlinear abstract damped evolution equations with applications to partial and ordinary differential systems
- Nonlinear internal damping of wave equations with variable coefficients
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- Boundary Stabilization of Linear Elastodynamic Systems
- Weak asymptotic decay via a “relaxed invariance principle” for a wave equation with nonlinear, non-monotone damping
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Boundary Observability, Controllability, and Stabilization of Linear Elastodynamic Systems
- Some non-linear evolution equations
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