Exponential stability and blow up for a problem with Balakrishnan–Taylor damping
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Publication:3019051
DOI10.1515/dema-2013-0297zbMath1227.35074OpenAlexW350512708MaRDI QIDQ3019051
Abderrahmane Zaraï, Nasser-eddine Tatar
Publication date: 27 July 2011
Published in: Demonstratio Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/dema-2013-0297
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (45K05) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
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- Decay estimates for some semilinear damped hyperbolic problems
- Decay of solutions of some nonlinear evolution equations
- The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms
- Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
- On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
- Existence and nonexistence of global solutions of some system of semilinear wave equations
- Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan-Taylor damping
- Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
- Existence and decay of solutions of a viscoelastic equation with a nonlinear source
- Blow-up theorems for nonlinear wave equations
- On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
- ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY
- Exponential stability in linear viscoelasticity
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Elastic membrane equation in bounded and unbounded domains
