General decay and blow up of solutions for a system of viscoelastic wave equations with nonlinear boundary source terms
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Publication:2408614
DOI10.1016/j.jmaa.2017.02.049zbMath1378.35191OpenAlexW2594624567MaRDI QIDQ2408614
Publication date: 12 October 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.02.049
Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Initial-boundary value problems for higher-order hyperbolic systems (35L57)
Related Items (3)
Global nonexistence for a viscoelastic wave equation with acoustic boundary conditions ⋮ Variable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay rates ⋮ Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms
Cites Work
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- Arbitrary decays for a viscoelastic equation
- Blow-up for semilinear wave equation with boundary damping and source terms
- General decay of solutions for a viscoelastic equation with nonlinear damping and source terms
- Decay results for viscoelastic equations with coupled nonlinear boundary conditions
- Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density
- On a viscoelastic equation with nonlinear boundary damping and source terms: global existence and decay of the solution
- On viscoelastic wave equation with nonlinear boundary damping and source term
- On decay and blow-up of the solution for a viscoelastic wave equation with boundary damping and source terms
- Decay rate of solutions for a Cauchy viscoelastic evolution equation
- General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions
- On convexity for energy decay rates of a viscoelastic equation with boundary feedback
- Viscoelastic relaxation functions compatible with thermodynamics
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Existence and nonexistence of global solutions of some system of semilinear wave equations
- Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
- Global existence and nonexistence for the viscoelastic wave equation with nonlinear boundary damping-source interaction
- General decay rate estimates for viscoelastic dissipative systems
- Exponential and polynomial decay for a quasilinear viscoelastic equation
- An abstract Volterra equation with applications to linear viscoelasticity
- Asymptotic stability in viscoelasticity
- Existence and uniform decay for a non-linear viscoelastic equation with strong damping
- General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
- Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
- Asymptotic behaviour of the energy in partially viscoelastic materials
- Global well-posedness for strongly damped viscoelastic wave equation
- Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
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