Exponential decay for solutions to semilinear damped wave equation
From MaRDI portal
Publication:428412
DOI10.3934/DCDSS.2012.5.559zbMath1246.35036OpenAlexW2963236064MaRDI QIDQ428412
Belkacem Said-Houari, Stéphane Gerbi
Publication date: 22 June 2012
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.559
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71)
Related Items (20)
On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms ⋮ 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 ⋮ Initial boundary value problem for a strongly damped wave equation with a general nonlinearity ⋮ Blow up at infinity of solutions for integro-differential equation ⋮ Decay rate estimates for a class of quasilinear hyperbolic equations with damping terms involving p-Laplacian ⋮ GLOBAL SOLUTION AND BLOW-UP OF LOGARITHMIC KLEIN-GORDON EQUATION ⋮ Global nonexistence for a nonlinear viscoelastic equation with nonlinear damping and velocity-dependent material density ⋮ General decay of solutions to a viscoelastic wave equation with linear damping, nonlinear damping and source term ⋮ Global existence, energy decay, and blowup of solutions for a wave equation type \(p\)-Laplacian with memory term and dynamic boundary conditions ⋮ General stability and exponential growth of nonlinear variable coefficient wave equation with logarithmic source and memory term ⋮ Global solutions and blow-up for a class of strongly damped wave equations systems ⋮ Unnamed Item ⋮ Nonlinear wave equation with both strongly and weakly damped terms: supercritical initial energy finite time blow up ⋮ Asymptotic behavior for a class of logarithmic wave equations with linear damping ⋮ Stable and unstable sets for damped nonlinear wave equations with variable exponent sources ⋮ Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations ⋮ General stability and exponential growth for a class of semi-linear wave equations with logarithmic source and memory terms ⋮ Global existence and finite time blow up for a class of semilinear wave equations on \(\mathbb{R}^N\) ⋮ Global existence and asymptotic behaviour of solutions for a class of fourth order strongly damped nonlinear wave equations ⋮ Decay estimate and blow-up for a damped wave equation with supercritical sources
This page was built for publication: Exponential decay for solutions to semilinear damped wave equation