Some Nonlinear Wave Equations with Nonlinear Memory Source Term and Acoustic Boundary Conditions

DOI10.1080/01630560600884596zbMath1106.76062OpenAlexW2027281913MaRDI QIDQ3422784

Jung Ae Kim, Jong Yeoul Park

Publication date: 14 February 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560600884596

zbMATH Keywords

existenceuniquenessGalerkin approximation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nonlinear waves in solid mechanics (74J30) Hydro- and aero-acoustics (76Q05)

Related Items (13)

Polynomial decay of a internal nonlinear damping structurally acoustic models with variable coefficients ⋮ Polynomial decay rate of a variable coefficient wave equation with memory type acoustic boundary conditions ⋮ Stabilization for transmission wave-plate equations with acoustic/memory boundary conditions ⋮ Decay rate estimates for wave equations of memory type with acoustic boundary conditions ⋮ Attractors for semilinear damped wave equations with an acoustic boundary condition ⋮ Existence and general decay for nondissipative distributed systems with boundary frictional and memory dampings and acoustic boundary conditions ⋮ On the convergence to stationary solutions for a semilinear wave equation with an acoustic boundary condition ⋮ Blow up of solutions of a nonlinear viscoelastic wave equation ⋮ Well-posedness for a variable-coefficient wave equation with nonlinear damped acoustic boundary conditions ⋮ Existence of Solutions for the Kirchhoff-Type Wave Equation with Memory Term and Acoustic Boundary Conditions ⋮ Existence and general decay for nondissipative hyperbolic differential inclusions with acoustic/memory boundary conditions ⋮ Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions ⋮ Uniform stabilization of a variable coefficient wave equation with nonlinear damping and acoustic boundary

Cites Work

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• Some nonlinear wave equations with acoustic boundary conditions
• Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
• Acoustic boundary conditions

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