Existence and asymptotic stability for the semilinear wave equation with boundary damping and source term

DOI10.1063/1.2919886zbMath1152.81576OpenAlexW2063213462MaRDI QIDQ5504922

Tae Gab Ha, Jong Yeoul Park

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2919886

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70)

Related Items (22)

Energy decay rates for solutions of the Kirchhoff type wave equation with boundary damping and source terms ⋮ Blow-up for wave equation with weak boundary damping and source terms ⋮ General decay rate estimates for viscoelastic wave equation with Balakrishnan-Taylor damping ⋮ Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms ⋮ Blow-up for semilinear wave equation with boundary damping and source terms ⋮ Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities ⋮ Blow up result for a viscoelatic plate equation with nonlinear source ⋮ Wave equations with super-critical interior and boundary nonlinearities ⋮ Existence and stability results of a plate equation with nonlinear damping and source term ⋮ Asymptotic stability of the semilinear wave equation with boundary damping and source term ⋮ Asymptotic behavior of a nonlinear Kirchhoff type equation with spring boundary conditions ⋮ Global solutions and blow-up for the wave equation with variable coefficients. I: Interior supercritical source ⋮ Energy decay rate for the wave equation with variable coefficients and boundary source term ⋮ Blow-up results for viscoelastic wave equations with weak damping ⋮ General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms ⋮ Energy decay rates for solutions of the wave equation with boundary damping and source term ⋮ Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions ⋮ Asymptotic stability of a viscoelastic problem with time-varying delay in boundary feedback ⋮ Existence and asymptotic stability for the semilinear wave equation with variable-exponent nonlinearities ⋮ On a wave equation with supercritical interior and boundary sources and damping terms ⋮ Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions ⋮ Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms

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