General decay rates for a viscoelastic wave equation with dynamic boundary conditions and past history

DOI10.1007/s00009-018-1154-4zbMath1403.35043OpenAlexW2800216794MaRDI QIDQ723807

Baowei Feng

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1154-4

zbMATH Keywords

convexityboundary feedbackinfinite memorynonlinear weak boundary damping

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Linear constitutive equations for materials with memory (74D05) Integro-partial differential equations (35R09)

Related Items (7)

General decay rate for a Moore-Gibson-Thompson equation with infinite history ⋮ Global existence, blow-up and optimal decay for a nonlinear viscoelastic equation with nonlinear damping and source term ⋮ General decay and blow-up for coupled Kirchhoff wave equations with dynamic boundary conditions ⋮ Global existence, energy decay, and blowup of solutions for a wave equation type \(p\)-Laplacian with memory term and dynamic boundary conditions ⋮ Elastic membrane equation with dynamic boundary conditions and infinite memory ⋮ Decay and blow-up for a viscoelastic wave equation of variable coefficients with logarithmic nonlinearity ⋮ General decay for a nonlinear Bresse system with memory conditions on part of the boundary

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