Exponential decay for the damped wave equation in unbounded domains
From MaRDI portal
Publication:2828656
DOI10.1142/S0219199716500127zbMath1351.35168arXiv1408.6054MaRDI QIDQ2828656
Publication date: 26 October 2016
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.6054
Klein-Gordon equationunbounded domainsCarleman estimatescontrol theoryexponential decaydamped wave equationvariable dampinguniform stabilization
Controllability (93B05) Stabilization of systems by feedback (93D15) Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45)
Related Items
When is the energy of the 1D damped Klein-Gordon equation decaying?, Energy decay in a wave guide with dissipation at infinity, Stabilization of the critical semilinear Klein-Gordon equation in compact space, Stabilization of the critical semilinear wave equation on non-compact Riemannian manifold, A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold, Equivalence between the energy decay of fractional damped Klein–Gordon equations and geometric conditions for damping coefficients, Controllability of the Schrödinger equation on unbounded domains without geometric control condition, Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data, Exponential decay for the KdV equation on ℝ with new localized dampings, Nonuniform stability of damped contraction semigroups, On the energy decay rate of the fractional wave equation on ℝ with relatively dense damping, Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains, Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation, Exponential stabilization of the wave equation on hyperbolic spaces with nonlinear locally distributed damping, Stabilization of the critical semilinear wave equation with Dirichlet-Neumann boundary condition on bounded domain, Unnamed Item, Stabilization of the transmission wave/plate equation with variable coefficients on \({\mathbb{R}}^n \), Uncertainty principles associated to sets satisfying the geometric control condition, Energy decay for the Klein-Gordon Equation with highly oscillating damping, Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping, Observable sets, potentials and Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stabilization for the semilinear wave equation with geometric control condition
- Stabilization of the wave equation in an exterior domain
- Exponential decay for the semilinear wave equation with localized damping in unbounded domains
- On the asymptotic behavior of solutions of semi-linear wave equations
- Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
- On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
- Global stability of travelling fronts for a damped wave equation with bistable nonlinearity
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Decay of solutions of the wave equation outside nontrapping obstacles
- Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes
- Stabilization and control for the subcritical semilinear wave equation
- ASYMPTOTIC EXPANSION FOR DAMPED WAVE EQUATIONS WITH PERIODIC COEFFICIENTS
- Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle
- An introduction to semiclassical and microlocal analysis