General decay rate estimates for viscoelastic wave equation with Balakrishnan-Taylor damping
From MaRDI portal
Publication:294019
DOI10.1007/s00033-016-0625-3zbMath1353.35064OpenAlexW2328188095MaRDI QIDQ294019
Publication date: 9 June 2016
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-016-0625-3
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Integro-partial differential equations (35R09)
Related Items
Energy decay rates for solutions of the Kirchhoff type wave equation with boundary damping and source terms ⋮ Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term ⋮ Initial boundary value problem for a viscoelastic wave equation with Balakrishnan-Taylor damping and a delay term: decay estimates and blow-up result ⋮ Uniform stability of a strong time-delayed viscoelastic system with Balakrishnan-Taylor damping ⋮ On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions ⋮ General decay result of solutions for viscoelastic wave equation with Balakrishnan-Taylor damping and a delay term ⋮ Global solutions and blow-up for the wave equation with variable coefficients. I: Interior supercritical source ⋮ Energy decay rate for the wave equation with variable coefficients and boundary source term ⋮ Asymptotic stability of the viscoelastic equation with variable coefficients and the Balakrishnan-Taylor damping ⋮ Stabilization for the wave equation with variable coefficients and Balakrishnan-Taylor damping ⋮ Unnamed Item ⋮ Existence and exponential decay of the Dirichlet problem for a nonlinear wave equation with the Balakrishnan-Taylor term ⋮ Decay rates for a viscoelastic wave equation with Balakrishnan-Taylor and frictional dampings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blow-up for wave equation with weak boundary damping and source terms
- Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms
- Blow-up for semilinear wave equation with boundary damping and source terms
- Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
- On viscoelastic wave equation with nonlinear boundary damping and source term
- Stabilization of the viscoelastic Euler-Bernoulli type equation with a local nonlinear dissipation
- General decay of the solution energy in a viscoelastic equation with a nonlinear source
- Energy decay rates for solutions of the wave equation with boundary damping and source term
- Energy decay for nondissipative distributed systems with boundary damping and source term
- A direct method for the boundary stabilization of the wave equation
- Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- A new method to obtain decay rate estimates for dissipative systems with localized damping
- Decay rates for viscoelastic plates with memory
- Existence and asymptotic stability for evolution problems on manifolds with damping and source terms.
- Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan-Taylor damping
- Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
- Global existence and asymptotic stability for viscoelastic problems
- Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
- Asymptotic stability of the semilinear wave equation with boundary damping and source term
- General decay rate estimates for viscoelastic dissipative systems
- Decay estimates for second order evolution equations with memory
- General decay of solutions of a viscoelastic equation
- Existence and decay of solutions of a viscoelastic equation with a nonlinear source
- An abstract Volterra equation with applications to linear viscoelasticity
- Exponential stability and blow up for a problem with Balakrishnan–Taylor damping
- Existence of Solutions for the Kirchhoff-Type Wave Equation with Memory Term and Acoustic Boundary Conditions
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions
- Elastic membrane equation in bounded and unbounded domains
- Existence and asymptotic stability for the semilinear wave equation with boundary damping and source term
