On a semilinear wave equation with Kirchhoff-type nonlocal damping terms and logarithmic nonlinearity
DOI10.1007/S00009-022-02221-0OpenAlexW4311248625MaRDI QIDQ2682899
Publication date: 1 February 2023
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-022-02221-0
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) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Unnamed Item
- Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
- Two dimensional exterior mixed problem for semilinear damped wave equations
- On a Kirchhoff wave model with nonlocal nonlinear damping
- Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains.
- Non-existence of weak solutions to nonlinear damped wave equations in exterior domains
- Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations
- Blow up at infinity of solutions for integro-differential equation
- Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities
- Rates of decay of a nonlocal beam equation
- Robust attractors for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal damping
- Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity
- Optimal attractors of the Kirchhoff wave model with structural nonlinear damping
- Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
- Long-time behavior for a plate equation with nonlocal weak damping.
- The existence and the asymptotic behavior of a plate equation with frictional damping and a logarithmic source term
- Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain
- Strongly damped wave equation in uniform spaces
- Exponential Decay of Energy for a Logarithmic Wave Equation
- Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
- Blow up at infinity of solutions of polyharmonic Kirchhoff systems
- Smooth attractors for strongly damped wave equations
- Équations d'évolution avec non linéarité logarithmique
- Energy decay estimates and infinite blow‐up phenomena for a strongly damped semilinear wave equation with logarithmic nonlinear source
- Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay
- Attractors for a plate equation with nonlocal nonlinearities
- Critical exponent for a nonlinear wave equation with damping
This page was built for publication: On a semilinear wave equation with Kirchhoff-type nonlocal damping terms and logarithmic nonlinearity