scientific article; zbMATH DE number 6770650

zbMath1370.35200MaRDI QIDQ5355280

Yadong Shang, Huafei Di

Publication date: 7 September 2017

Full work available at URL: http://www.ejpam.com/index.php/ejpam/article/view/3003

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zbMATH Keywords

blow upperturbed energy methodnonlinear boundary dampingdecay rate estimateviscoelastic equationinternal source

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

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Global nonexistence for a viscoelastic wave equation with acoustic boundary conditions ⋮ Global existence and general decay for a weak viscoelastic equation with acoustic boundary conditions and a logarithmic source term ⋮ Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms ⋮ Well-posedness, asymptotic stability and blow-up results for a nonlocal singular viscoelastic problem with logarithmic nonlinearity ⋮ Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source ⋮ Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms ⋮ Energy decay and blow-up of solutions for a viscoelastic equation with nonlocal nonlinear boundary dissipation

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