Asymptotic behaviour of solutions for \(p\)-Laplacian wave equation with \(m\)-Laplacian dissipation
From MaRDI portal
Publication:399437
DOI10.4171/ZAA/1510zbMath1297.35041OpenAlexW2057248490MaRDI QIDQ399437
Khaled Ben Walid Mansour, Soufiane Mokeddem
Publication date: 19 August 2014
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/zaa/1510
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order quasilinear hyperbolic equations (35L72)
Related Items (3)
Global existence, nonexistence, and decay of solutions for a wave equation of p-Laplacian type with weak and p-Laplacian damping, nonlinear boundary delay and source terms ⋮ Global existence, energy decay, and blowup of solutions for a wave equation type \(p\)-Laplacian with memory term and dynamic boundary conditions ⋮ The rate at which the energy of solutions for a class of \(p\)-Laplacian wave equation decays
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global existence, uniqueness, and asymptotic behavior of solution for \(p\)-Laplacian type wave equation
- Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity
- Global existence and exponential stability of small solutions to nonlinear viscoelasticity
- A difference inequality and its application to nonlinear evolution equations
- On the decay of solutions for some nonlinear dissipative hyperbolic equations
- Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation
- General decay of solutions of a viscoelastic equation
- On global solution of nonlinear hyperbolic equations
- Strong Solutions of a Quasilinear Wave Equation with Nonlinear Damping
- On weak solutions for an evolution equation with exponential nonlinearities
- Existence and asymptotic behaviour of solutions for a class of quasi-linear evolution equations with non-linear damping and source terms
- On a nonlinear evolution equation and its applications
- On the decay of solutions for a class of quasilinear hyperbolic equations with non‐linear damping and source terms
- On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
This page was built for publication: Asymptotic behaviour of solutions for \(p\)-Laplacian wave equation with \(m\)-Laplacian dissipation