Exponential energy decay of solutions of viscoelastic wave equations
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Publication:936565
DOI10.1016/j.jmaa.2008.05.098zbMath1149.35323OpenAlexW2087569049MaRDI QIDQ936565
Publication date: 14 August 2008
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.2008.05.098
Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Linear constitutive equations for materials with memory (74D05)
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Cites Work
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- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- Global nonexistence for abstract evolution equations with positive initial energy
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\)
- Global existence and asymptotic stability for viscoelastic problems
- Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
- General decay rate estimates for viscoelastic dissipative systems
- Global solutions and finite time blow up for damped semilinear wave equations
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- A sufficient condition for finite time blow up of the nonlinear Klein-Gordon equations with arbitrarily positive initial energy
- Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Blow up and global existence in a nonlinear viscoelastic wave equation
- Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations