General energy decay for a viscoelastic equation of Kirchhoff type with acoustic boundary conditions

DOI10.1007/s00009-017-1038-zzbMath1402.35045arXiv1704.07295OpenAlexW3104095182MaRDI QIDQ1693389

Abdelkader Maatoug

Publication date: 31 January 2018

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

Full work available at URL: https://arxiv.org/abs/1704.07295

zbMATH Keywords

mixed boundary conditionsmultiplier methodmemory term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (1)

The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• General decay of solutions for Kirchhoff type containing Balakrishnan-Taylor damping with a delay and acoustic boundary conditions
• General decay of solutions for a viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary damping-source interactions
• Decay rate estimates for wave equations of memory type with acoustic boundary conditions
• Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
• Existence of a solution of the wave equation with nonlinear damping and source terms
• Some nonlinear wave equations with acoustic boundary conditions
• Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions
• General decay of solutions of a viscoelastic equation
• Wave Equation with Acoustic/Memory Boundary Conditions
• Acoustic boundary conditions
• A new method to obtain decay rate estimates for dissipative systems
• ENERGY DECAY RATE FOR THE KIRCHHOFF TYPE WAVE EQUATION WITH ACOUSTIC BOUNDARY
• Uniform Stabilization for a Hyperbolic Equation with Acoustic Boundary Conditions in Simple Connected Domains
• Abstract wave equations with acoustic boundary conditions
• Existence and asymptotic behaviour for a degenerate Kirchhoff-Carrier model with viscosity and nonlinear boundary conditions

This page was built for publication: General energy decay for a viscoelastic equation of Kirchhoff type with acoustic boundary conditions