Energy decay rates for the semilinear wave equation with memory boundary condition and acoustic boundary conditions

DOI10.1016/j.camwa.2017.02.038zbMath1379.35173OpenAlexW2602668391MaRDI QIDQ2403728

Yong Han Kang, Jin-Mun Jeong, Jong Yeoul Park

Publication date: 12 September 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.02.038

zbMATH Keywords

wave equationmixed boundary conditionsRiemannian geometry methodenergy decay ratesmemory boundary conditionsperturbed energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71)

Related Items (8)

A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions ⋮ Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions ⋮ Global nonexistence for a viscoelastic wave equation with acoustic boundary conditions ⋮ Variable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay rates ⋮ Exponential stabilization of wave equation with acoustic boundary conditions and its application to memory‐type boundary ⋮ Long time behavior of semilinear wave equation with localized interior damping term under acoustic boundary condition ⋮ Global nonexistence of solutions for a nonlinear wave equation with time delay and acoustic boundary conditions ⋮ Unnamed Item

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