Local existence and blow up for the wave equation with nonlinear logarithmic source term and nonlinear dynamical boundary conditions combined with distributed delay
DOI10.1007/S13370-024-01212-6MaRDI QIDQ6629755
Salah Boulaaras, Mohammad Alnegga, A. Choucha
Publication date: 30 October 2024
Published in: Afrika Matematika (Search for Journal in Brave)
existencewave equationdistributed delaypartial differential equationsblow updynamical boundary conditionlogarithmic nonlinearity
Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Asymptotic behavior for a stochastic wave equation with dynamical boundary conditions
- Stabilization of the wave equation with boundary or internal distributed delay.
- Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition
- Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions
- Global nonexistence for abstract evolution equations with positive initial energy
- Global solution to the Allen-Cahn equation with singular potentials and dynamic boundary conditions
- Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity
- Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems
- Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity
- Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity
- Global existence for the wave equation with nonlinear boundary damping and source terms
- An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions
- Attractors for strongly damped wave equations with nonlinear hyperbolic dynamic boundary conditions
- Quasilinear parabolic systems with dynamical boundary conditions
- Задача с динамическим краевым условием для одномерного гиперболического уравнения
- Blow-up for the wave equation with nonlinear source and boundary damping terms
- Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary and interior sources and damping
- 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
- Qualitative analysis of solutions for the p‐Laplacian hyperbolic equation with logarithmic nonlinearity
- Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions
- Infinite time blow‐up of solutions to a class of wave equations with weak and strong damping terms and logarithmic nonlinearity
- Iterative positive solutions to a coupled Riemann-Liouville fractional \(q\)-difference system with the Caputo fractional \(q\)-derivative boundary conditions
- On the absence of global weak solutions for a nonlinear time-fractional Schr\"odinger equation
- On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up
- Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents
- Blow-up of solutions for a system of nonlocal singular viscoelastic equations with sources and distributed delay terms
- On a viscoelastic plate equation with logarithmic nonlinearity and variable-exponents: global existence, general decay and blow-up of solutions
This page was built for publication: Local existence and blow up for the wave equation with nonlinear logarithmic source term and nonlinear dynamical boundary conditions combined with distributed delay
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6629755)