Global attractors for nonlinear wave equations with nonlinear dissipative terms

DOI10.1016/j.jde.2005.09.013zbMath1096.35024OpenAlexW2094031258MaRDI QIDQ2497918

Mitsuhiro Nakao

Publication date: 4 August 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.09.013

zbMATH Keywords

global attractornonlinear wave equationsabsorbing propertiesnonlinear dissipations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70)

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Cites Work

• Finite dimensionality and regularity of attractors for a 2-D semilinear wave equation with nonlinear dissipation
• Attractors for damped nonlinear hyperbolic equations
• Exponential decay for the semilinear wave equation with localized damping in unbounded domains
• Finite dimensional exponential attractors for semilinear wave equations with damping
• Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term
• Global attractors for damped semilinear wave equations.
• Global and periodic solutions for nonlinear wave equations with some localized nonlinear dissipation
• Decay of solutions of the wave equation with a local nonlinear dissipation
• A damped hyerbolic equation with critical exponent
• Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
• Finite Dimensionality of the Attractor for a Semilinear Wave Equation with Nonlinear Boundary Dissipation
• Asymptotic behaviour and attractors for a semilinear damped wave equation with supercritical exponent
• Some non-linear evolution equations
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