Continuous dependence and general decay of solutions for a wave equation with a nonlinear memory term.

DOI10.21136/AM.2022.0200-21OpenAlexW4211107649MaRDI QIDQ2697120

Nguyen Thanh Long, Nguyen Huu Nhan, Le Thi Phuong Ngoc, Doan Thi Nhu Quynh

Publication date: 18 April 2023

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

Full work available at URL: https://doi.org/10.21136/am.2022.0200-21

zbMATH Keywords

general decaystrong dampingviscoelastic equationsnonlinear memory

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

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• The beam equation with nonlinear memory
• Critical exponent for damped wave equations with nonlinear memory
• Global existence of solutions of Volterra integrodifferential equations of parabolic type
• A blow-up result in a Cauchy viscoelastic problem
• General decay of the solution energy in a viscoelastic equation with a nonlinear source
• Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations
• Blow-up and global existence for solution of quasilinear viscoelastic wave equation with strong damping and source term
• General decay for a viscoelastic problem with not necessarily decreasing kernel
• Global existence and general decay of solutions for a quasilinear system with degenerate damping terms
• Global well-posedness for effectively damped wave models with nonlinear memory
• General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping
• General decay properties of abstract linear viscoelasticity
• The continuous dependence on nonlinearities of solutions of the Neumann problem of a singular parabolic equation
• General decay result for nonlinear viscoelastic equations
• General decay rate estimates for viscoelastic dissipative systems
• Blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive
• The influence of a nonlinear memory on the damped wave equation
• Optimal decay rates for the viscoelastic wave equation
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
• Blow up and global existence in a nonlinear viscoelastic wave equation
• General decay for Kirchhoff type in viscoelasticity with not necessarily decreasing kernel
• Continuous dependence of solutions to the strongly damped nonlinear Klein{Gordon equation
• General decay results for a viscoelastic wave equation with a variable exponent nonlinearity
• Existence and Decay of Solutions of a Nonlinear Viscoelastic Problem with a Mixed Nonhomogeneous Condition
• The continuous dependence of generalized solutions of non‐linear partial differential equations upon initial data
• General decay of energy for a viscoelastic equation with nonlinear damping