Stability of a transmission problem for Kirchhoff‐type wave equations with memory on the boundary

DOI10.1002/MMA.4242zbMath1391.35059OpenAlexW2553932279MaRDI QIDQ4977822

Sun Hye Park

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4242

zbMATH Keywords

Lyapunov functionalsgeneral decayinfluence of boundary dissipation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Related Items (5)

Stabilization for transmission wave-plate equations with acoustic/memory boundary conditions ⋮ Memory‐type boundary stabilization of a transmission problem for Kirchhoff wave equations ⋮ A new general decay for a transmission problem of viscoelastic Timoshenko systems ⋮ Unnamed Item ⋮ Global solvability and general decay of a transmission problem for Kirchhoff-type wave equations with nonlinear damping and delay term

Cites Work

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• Existence and general decay of a transmission problem for the plate equation with a memory condition on the boundary
• General decay for the degenerate equation with a memory condition at the boundary
• Boundary stabilization of memory-type thermoelasticity with second sound
• Decay rate estimates for wave equations of memory type with acoustic boundary conditions
• Nonlinear transmission problem for wave equation with boundary condition of memory type
• General decay rates of solutions to a nonlinear wave equation with boundary condition of memory type.
• General decay of solutions of a wave equation with a boundary control of memory type
• Positive solutions for a nonlinear nonlocal elliptic transmission problem
• The transmission problem of viscoelastic waves
• General decay of solutions for a nonlinear system of viscoelastic wave equations with degenerate damping and source terms
• General decay of a transmission problem for Kirchhoff type wave equations with boundary memory condition
• General decay of solutions of a viscoelastic equation
• Energy decay in a transmission problem in thermoelasticity of type III
• General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping

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