General decay of solutions of a wave equation with memory term and acoustic boundary condition

DOI10.1002/mma.4129zbMath1364.35183OpenAlexW2499891816MaRDI QIDQ2978113

Cicero Lopes Frota, André Vicente

Publication date: 21 April 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.4129

zbMATH Keywords

non-locally reacting boundarygeneral decay of the energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

Stabilization of a transmission problem with past history and acoustic boundary conditions ⋮ Wave equation with viscoelastic acoustic boundary conditions and supercritical source term ⋮ Exponential decay for semilinear wave equation with localized damping in the hyperbolic space ⋮ Exponential stabilization of wave equation with acoustic boundary conditions and its application to memory‐type boundary ⋮ Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions ⋮ Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions ⋮ On a nonlinear problem with Dirichlet and acoustic boundary conditions ⋮ Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions ⋮ The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces

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