General decay of a variable coefficient viscoelastic wave equation with the logarithmic nonlinearity, not necessarily decreasing kernel and acoustic boundary conditions
DOI10.3934/cpaa.2024079MaRDI QIDQ6642482
Publication date: 24 November 2024
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
general decayacoustic boundary conditionslogarithmic nonlinearitywave equation with variable coefficientsnot necessarily decreasing kernel
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity
- General decay for a viscoelastic problem with not necessarily decreasing kernel
- General decay result for the wave equation with memory and acoustic boundary conditions
- Decay of an extensible viscoelastic plate equation with a nonlinear time delay
- Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions
- Asymptotic behavior for a viscoelastic problem with not necessarily decreasing kernel
- One-dimensional Klein–Gordon equation with logarithmic nonlinearities
- Acoustic boundary conditions
- General decay for Kirchhoff type in viscoelasticity with not necessarily decreasing kernel
- A sharper decay rate for a viscoelastic wave equation with power nonlinearity
- General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping and logarithmic nonlinearity
- Global existence and general decay for a weak viscoelastic equation with acoustic boundary conditions and a logarithmic source term
- General energy decay estimates for a variable coefficient viscoelastic semilinear wave equation with logarithmic source term and acoustic boundary conditions
This page was built for publication: General decay of a variable coefficient viscoelastic wave equation with the logarithmic nonlinearity, not necessarily decreasing kernel and acoustic boundary conditions