General decay and blow-up of solutions for a viscoelastic equation with nonlinear boundary damping-source interactions
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Publication:662389
DOI10.1007/s00033-011-0151-2zbMath1242.35053OpenAlexW2087438602MaRDI QIDQ662389
Publication date: 22 February 2012
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-011-0151-2
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Linear constitutive equations for materials with memory (74D05) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)
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Cites Work
- Unnamed Item
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- Blow-up of positive-initial-energy solutions for an integro-differential equation with nonlinear damping
- Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain
- Energy decay rates via convexity for some second-order evolution equation with memory and nonlinear time-dependent dissipation
- 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
- Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- General decay of the solution energy in a viscoelastic equation with a nonlinear source
- On convexity for energy decay rates of a viscoelastic equation with boundary feedback
- Optimal energy decay rate for a class of weakly dissipative second-order systems with memory
- Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
- A direct method for the boundary stabilization of the wave equation
- Viscoelastic relaxation functions compatible with thermodynamics
- 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
- Decay rates for viscoelastic plates with memory
- Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory
- Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
- General decay rate estimates for viscoelastic dissipative systems
- Exponential and polynomial decay for a quasilinear viscoelastic equation
- General decay of solutions of a viscoelastic equation
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- An abstract Volterra equation with applications to linear viscoelasticity
- Asymptotic stability in viscoelasticity
- Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
- General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
- A new method to obtain decay rate estimates for dissipative systems
- Asymptotic behaviour of the energy in partially viscoelastic materials
- Blow up and global existence in a nonlinear viscoelastic wave equation
- A memory type boundary stabilization of a mildly damped wave equation
- Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
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