Energy decay for a damped nonlinear hyperbolic equation

DOI10.1016/S0893-9659(98)00171-2zbMath0942.35118OpenAlexW1965713660MaRDI QIDQ1808524

Aissa Guesmia, Mohammed Aassila

Publication date: 23 August 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00171-2

zbMATH Keywords

integral inequalitystrong dampinguniform stabilization

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (15)

On decay and blow-up of solutions for a nonlinear beam equation with double damping terms ⋮ Global existence and asymptotic behaviour of solution for a damped nonlinear hyperbolic equation ⋮ On the initial and terminal value problem for a class of semilinear strongly material damped plate equations ⋮ Nonexistence of global solutions of nonlinear hyperbolic equation with material damping ⋮ Global existence and blowup of solutions for a class of nonlinear higher-order wave equations ⋮ Existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation ⋮ Existence and asymptotic behavior of global solutions for a class of nonlinear higher-order wave equation ⋮ Blow-up of solution of an initial boundary value problem for a damped nonlinear hyperbolic equation. ⋮ Local existence and global nonexistence theorems for a damped nonlinear hyperbolic equation ⋮ Global existence and nonexistence in a system of Petrovsky ⋮ Blow-up of solution of Cauchy problem for three-dimensional damped nonlinear hyperbolic equation ⋮ On a final value problem for a class of nonlinear hyperbolic equations with damping term ⋮ Global existence and exponential decay for a viscoelastic Petrovsky system ⋮ Strong global and exponential attractors for a nonlinear strongly damped hyperbolic equation ⋮ Global attractor for damped abstract nonlinear hyperbolic systems

Cites Work

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• Global existence and internal nonlinear damping for a Petrovsky system
• Well posedness for damped second order systems with unbounded input operators
• Global solvability for damped abstract nonlinear hyperbolic systems
• Finite Deformation and Nonlinear Elastic Behavior of Flexible Composites
• Nonlinear Composite Beam Theory
• Nouvelle approche à la stabilisation forte des systèmes distribués

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