Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions
From MaRDI portal
Publication:5129750
DOI10.2989/16073606.2019.1595768zbMath1450.35082OpenAlexW2936880771MaRDI QIDQ5129750
Biqing Zhu, Wenjun Liu, Gang Li
Publication date: 23 October 2020
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2989/16073606.2019.1595768
Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items
Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity, Global existence, exponential decay and blow-up of solutions for a class of fractional pseudo-parabolic equations with logarithmic nonlinearity, Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- General decay rate estimate for the energy of a weak viscoelastic equation with an internal time-varying delay term
- Existence and asymptotic behavior of the wave equation with dynamic boundary conditions
- Existence and general decay for nondissipative distributed systems with boundary frictional and memory dampings and acoustic boundary conditions
- Global existence, asymptotic behavior and blow-up of solutions for a viscoelastic equation with strong damping and nonlinear source
- Non-existence of global solutions for nonlinear strongly damped hyperbolic systems
- Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions
- Spectral analysis and limit behaviours in a spring-mass system
- Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions
- Blow-up results for a nonlinear hyperbolic equation with Lewis function
- Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Second order evolution equations with dynamic boundary conditions
- Lower and upper bounds for the blow-up time for nonlinear wave equation with variable sources
- Analyticity and Gevrey class regularity for a strongly damped wave equation with hyperbolic dynamic boundary conditions
- Lower bounds for blow-up time in a class of nonlinear wave equations
- Arbitrary rate of decay for a viscoelastic equation with acoustic boundary conditions
- On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term
- General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions
- General decay rate estimates for viscoelastic dissipative systems
- Existence and decay of solutions of a viscoelastic equation with a nonlinear source
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- Existence and uniform decay for a non-linear viscoelastic equation with strong damping
- Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions
- Global existence and blow-up of solutions for a strongly damped Petrovsky system with nonlinear damping
- Non-existence of global solutions for a class of wave equations with nonlinear damping and source terms
- Energy decay for a nonlinear viscoelastic rod equations with dynamic boundary conditions
- On the strongly damped wave equation with nonlinear damping and source terms
- Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein-Gordon equation with dissipative term
- Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
- Blow up and global existence in a nonlinear viscoelastic wave equation
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Global existence and uniform stability of solutions for a quasilinear viscoelastic problem
