Exponential decay for the semilinear wave equation with localized frictional and Kelvin–Voigt dissipating mechanisms
From MaRDI portal
Publication:5081933
DOI10.3233/ASY-211706zbMath1506.35158OpenAlexW3160180553WikidataQ115488293 ScholiaQ115488293MaRDI QIDQ5081933
Martinez Victor H. Gonzalez, Marcelo Moreira Cavalcanti
Publication date: 17 June 2022
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-211706
Feedback control (93B52) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stabilization for the semilinear wave equation with geometric control condition
- On stabilization and control for the critical Klein-Gordon equation on a 3-D compact manifold
- Asymptotic stability of the wave equation on compact manifolds and locally distributed damping: A sharp result
- Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping
- Stabilization of trajectories for some weakly damped hyperbolic equations
- Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
- Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions
- Semigroups of linear operators and applications to partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Stabilization of the wave equation with localized nonlinear damping
- A new method to obtain decay rate estimates for dissipative systems with localized damping
- Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot
- Oscillations of concentration effects in semilinear dispersive wave equations
- Unique continuation for weak solutions of the wave equation plus a potential
- Uniform decay rate estimates for Schrödinger and plate equations with nonlinear locally distributed damping
- Imperfect geometric control and overdamping for the damped wave equation
- Stabilization and control for the nonlinear Schrödinger equation on a compact surface
- On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
- Exponential stability for the wave equations with local Kelvin-Voigt damping
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result
- Microlocal defect measures
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Decay of solutions to nondissipative hyperbolic systems on compact manifolds
- Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes
- Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
- Stabilization and control for the subcritical semilinear wave equation
- Escape Function Conditions for the Observation, Control, and Stabilization of the Wave Equation
- Uniform decay rate estimates for the semilinear wave equation in inhomogeneous medium with locally distributed nonlinear damping
- Dispersive estimates for principally normal pseudodifferential operators
- Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations
This page was built for publication: Exponential decay for the semilinear wave equation with localized frictional and Kelvin–Voigt dissipating mechanisms
