Stabilization of the transmission wave/plate equation with variable coefficients on \({\mathbb{R}}^n \)
From MaRDI portal
Publication:2062170
DOI10.3934/eect.2020068zbMath1480.93194OpenAlexW3036285354MaRDI QIDQ2062170
Zhen-Hu Ning, Bei Gong, Fengyan Yang
Publication date: 24 December 2021
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2020068
Control/observation systems governed by partial differential equations (93C20) Asymptotic stability in control theory (93D20)
Cites Work
- Unnamed Item
- Decay rates of the hyperbolic equation in an exterior domain with half-linear and nonlinear boundary dissipations
- Stabilization of transmission coupled wave and Euler-Bernoulli equations on Riemannian manifolds by nonlinear feedbacks
- Stabilization of trajectories for some weakly damped hyperbolic equations
- Stabilization of a transmission wave/plate equation
- Stabilization of the wave equation with localized nonlinear damping
- A new method to obtain decay rate estimates for dissipative systems with localized damping
- Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
- Exponential asymptotic stability for the Klein Gordon equation on non-compact Riemannian manifolds
- Energy decay rate of the wave equations on Riemannian manifolds with critical potential
- Decay of solutions of the wave equation with a local nonlinear dissipation
- Stabilization of the transmission wave/plate equation with variable coefficients
- Local energy decay for the damped wave equation
- Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation
- Nonlinear internal damping of wave equations with variable coefficients
- Exponential decay for the damped wave equation in unbounded domains
- The energy decay problem for wave equations with nonlinear dissipative terms in $\mathbb{R}^n$
- Weak asymptotic decay via a “relaxed invariance principle” for a wave equation with nonlinear, non-monotone damping
- Control of Wave Processes with Distributed Controls Supported on a Subregion
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Locally Distributed Control and Damping for the Conservative Systems
- Stabilization and control for the subcritical semilinear wave equation
- Global existence and nonexistence for nonlinear wave equations with damping and source terms
- EXISTENCE OF GLOBAL SOLUTIONS FOR THE KIRCHHOFF-TYPE QUASILINEAR WAVE EQUATION IN EXTERIOR DOMAINS WITH A HALF-LINEAR DISSIPATION
- Global solvability and uniform decays of solutions to quaslinear equation with nonlinear boundary dissipation
- Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms
- Time decay for the nonlinear Klein-Gordon equation
- Critical exponent for a nonlinear wave equation with damping
- Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations
This page was built for publication: Stabilization of the transmission wave/plate equation with variable coefficients on \({\mathbb{R}}^n \)