Global existence and stability for a viscoelastic wave equation with nonlinear boundary source term

DOI10.4208/jpde.v37.n4.6MaRDI QIDQ6666769

Gongwei Liu, Ali Hakem, Mohamed Mellah

Publication date: 20 January 2025

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

stabilizationviscoelastic equationnonlinear boundary source

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Initial value problems for higher-order hyperbolic equations (35L30) Pseudohyperbolic equations (35L82) Blow-up in context of PDEs (35B44)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arbitrary decays for a viscoelastic equation
• General decay of the solution energy in a viscoelastic equation with a nonlinear source
• General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source
• On the control of solutions of viscoelastic equations with boundary feedback
• Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
• General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions
• General decay rate estimates for viscoelastic dissipative systems
• General decay of solutions of a viscoelastic equation
• Global solutions for a nonlinear hyperbolic equation with boundary memory source term
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Global existence and nonexistence of solutions for a viscoelastic wave equation with nonlinear boundary source term
• General decay for quasilinear viscoelastic equations with nonlinear weak damping
• General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
• Exponential decay for a quasilinear viscoelastic equation
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Global existence, nonexistence, and decay of solutions for a viscoelastic wave equation with nonlinear boundary damping and source terms
• Arbitrary decays in linear viscoelasticity
• Global existence and blow-up phenomenon for a quasilinear viscoelastic equation with strong damping and source terms
• General decay of energy for a viscoelastic equation with nonlinear damping
• General decay of energy for a viscoelastic equation with nonlinear damping

This page was built for publication: Global existence and stability for a viscoelastic wave equation with nonlinear boundary source term