Energy decay rates for solutions of the wave equations with nonlinear damping in exterior domain
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Publication:683476
DOI10.1016/j.jde.2017.12.009zbMath1394.35042arXiv1207.7336OpenAlexW2964165468MaRDI QIDQ683476
Publication date: 6 February 2018
Published in: Journal of Differential Equations, Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.7336
Dirichlet problemwave equationexterior domaindecay ratenonlinear dampingcompactly supported initial datageometric control conditionlocalized nonlinear dampingodd-dimensional space
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Second-order quasilinear hyperbolic equations (35L72)
Related Items (5)
Stabilization of two coupled wave equations on a compact manifold with boundary ⋮ Energy decay rates for solutions of the wave equation with linear damping in exterior domain ⋮ Stabilization of two strongly coupled hyperbolic equations in exterior domains ⋮ Local energy decay for the wave equation with a nonlinear time-dependent damping ⋮ Energy decay for linear dissipative wave equations in exterior domains
Cites Work
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- Energy decay rates for solutions of the wave equation with linear damping in exterior domain
- Singularities and energy decay in acoustical scattering
- Energy decay to the Cauchy problem for a generalised nonlinear Klein-Gordon equation with a nonlinear dissipative term
- Behaviors of the energy of solutions of the wave equation with damping and external force
- Stabilization of the wave equation by the boundary
- Stabilization of the wave equation in an exterior domain
- Decay estimates for some semilinear damped hyperbolic problems
- Exponential decay for the semilinear wave equation with localized damping in unbounded domains
- Sharp estimates of the energy for the solutions of some dissipative second order evolution equations
- Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term
- Stabilization of the wave equation with localized nonlinear damping
- Decay of solutions to the Cauchy problem for the Klein-Gordon equation with a localized nonlinear dissipation
- Stabilization of local energy in an exterior domain for the wave equation with a localized dissipation
- Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
- Energy decay for the wave equation in exterior domains with some half-linear dissipation.
- Scattering and exponential decay of the local energy for the solutions of semilinear and subcritical wave equation outside convex obstacle
- Decay of solutions of the wave equation with arbitrary localized nonlinear damping
- Decay rates for dissipative wave equations
- Fast decay of solutions for linear wave equations with dissipation localized near infinity in an exterior domain
- On energy decay-nondecay problems for wave equations with nonlinear dissipative term in \(\mathbb{R}^ N\)
- On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term
- Decay of solutions of the wave equation with a local nonlinear dissipation
- On the energy decay for dissipative nonlinear wave equations in one space dimension
- Energy decay for linear dissipative wave equations in exterior domains
- \(L^1\) estimates for dissipative wave equations in exterior domains
- Energy decay for the wave equation with boundary and localized dissipations in exterior domains
- Non-homogeneous non-linear damped wave equations in unbounded domains
- The energy decay problem for wave equations with nonlinear dissipative terms in $\mathbb{R}^n$
- Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
- Critical Exponent for Semilinear Wave Equations with Space-Dependent Potential
- Microlocal defect measures
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- A correction to: Decay of solutions of the wave equation outside nontrapping obstacles
- A new method to obtain decay rate estimates for dissipative systems
- Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes
- Some non-linear evolution equations
- Uniform Decay Rates for the Wave Equation with Nonlinear Damping Locally Distributed in Unbounded Domains with Finite Measure
- Solutions of the wave equation with localized energy
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations
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