Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping
From MaRDI portal
Publication:4999550
DOI10.1051/cocv/2021047zbMath1468.35020OpenAlexW3168614408MaRDI QIDQ4999550
Publication date: 7 July 2021
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2021047
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear differential equations in abstract spaces (34G20) Asymptotic stability in control theory (93D20) A priori estimates in context of PDEs (35B45) Abstract hyperbolic equations (35L90) Second-order semilinear hyperbolic equations (35L71)
Related Items (4)
Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping ⋮ Well-posedness and decay property for the Cauchy problem of the standard linear solid model with thermoelasticity of type III ⋮ Optimal decay rates for semi-linear non-autonomous evolution equations with vanishing damping ⋮ Optimal convergence rates for damped inertial gradient dynamics with flat geometries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations
- Finding the exact decay rate of all solutions to some second order evolution equations with dissipation
- Attractors for infinite-dimensional non-autonomous dynamical systems
- Asymptotic for the perturbed heavy ball system with vanishing damping term
- An abstract transmission problem in a thin layer, I: Sharp estimates
- Asymptotics for some semilinear hyperbolic equations with non-autonomous damping
- Degenerate nonlinear diffusion equations
- Rates of decay for the wave systems with time dependent damping
- Degenerate and singular evolution equations in Banach space
- Nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions
- Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping
- Non-autonomous perturbation of autonomous semilinear differential equations: continuity of local stable and unstable manifolds
- The stability of attractors for non-autonomous perturbations of gradient-like systems
- Decay rate of the range component of solutions to some semilinear evolution equations
- \(L^{p}\)-Tauberian theorems and \(L^{p}\)-rates for energy decay
- The Cauchy problem for higher-order abstract differential equations
- Precise decay rate estimates for time-dependent dissipative systems
- Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings
- Coupled second order semilinear evolution equations indirectly damped via memory effects
- Long time behavior for a semilinear hyperbolic equation with asymptotically vanishing damping term and convex potential
- Coupled second order evolution equations with fading memory: optimal energy decay rate
- Sharp polynomial decay rates for the damped wave equation on the torus
- Time dependent hyperbolic equations
- Slow and fast decay of solutions to some second order evolution equations
- Exponential decay for the damped wave equation in unbounded domains
- Non-autonomous Morse-decomposition and Lyapunov functions for gradient-like processes
- A new method to obtain decay rate estimates for dissipative systems
- The non-autonomous wave equation with general Wentzell boundary conditions
- Infinite-Horizon Linear-Quadratic Regulator Problems for Nonautonomous Parabolic Systems with Boundary Control
- Approximation theorems for the propagators of higher order abstract Cauchy problems
This page was built for publication: Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping
