On uniform decay of the solution for a damped nonlinear coupled system of wave equations with nonlinear boundary damping and memory term.

DOI10.1016/S0096-3003(02)00838-XzbMath1039.35060MaRDI QIDQ1415275

Jeong Ja Bae

Publication date: 3 December 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

existence of solutionsemilinear coupled wave equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) A priori estimates in context of PDEs (35B45) Higher-order hyperbolic systems (35L55)

Related Items (3)

A note on a trivial assumption on kernel and model ⋮ Existence and uniform decay of solutions for a class of generalized plate-membrane-like systems ⋮ On a nonlinear wave equation with boundary damping

Cites Work

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• Existence of a solution of the wave equation with nonlinear damping and source terms
• Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term
• On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term
• A global existence theorem for the Dirichlet problem in nonlinear \(n\)-dimensional visocelasticity
• Energy decay for a damped nonlinear coupled system
• Remark on the decay for damped string and beam equations
• Nonlinear initial-boundary value problems
• Existence and uniform decay of solutions of a degenerate equation with nonlinear boundary damping and boundary memory source term

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