Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms

DOI10.1063/5.0012614zbMath1454.74096OpenAlexW3040853744MaRDI QIDQ5140939

Huafei Di, Yadong Shang, Jia-li Yu

Publication date: 17 December 2020

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

Full work available at URL: https://doi.org/10.1063/5.0012614

zbMATH Keywords

weak solutionpotential well methodGalerkin approximationblow-up phenomenon

Mathematics Subject Classification ID

Plates (74K20) Nonlinear waves in solid mechanics (74J30) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions ⋮ Variable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay rates ⋮ Dynamics properties for a viscoelastic Kirchhoff-type 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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