Global existence, uniform decay and exponential growth for a class of semi-linear wave equations with strong damping

From MaRDI portal
Publication:377970

DOI10.1016/S0252-9602(12)60193-3zbMath1289.35202OpenAlexW1979497667MaRDI QIDQ377970

Gongwei Liu, Hua Chen

Publication date: 19 November 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(12)60193-3



Related Items

General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping, 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, On potential wells to a semilinear hyperbolic equation with damping and conical singularity, Blow up at infinity of solutions for integro-differential equation, On the existence with exponential decay and the blow-up of solutions for coupled systems of semi-linear corner-degenerate parabolic equations with singular potentials, Blow-up of solutions to a class of Kirchhoff equations with strong damping and nonlinear dissipation, Global existence, finite time blow-up, and vacuum isolating phenomenon for a class of thin-film equation, Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation, Blow-up phenomena for a class of extensible beam equations, Global nonexistence for a nonlinear viscoelastic equation with nonlinear damping and velocity-dependent material density, On the existence, decay and blowup of solutions for a quasilinear hyperbolic equations involving the weighted \(p\)-Laplacian with source terms, Global quantitative stability of wave equations with strong and weak dampings, Existence and nonexistence of solutions of thin-film equations with variable exponent spaces, Global existence, energy decay, and blowup of solutions for a wave equation type \(p\)-Laplacian with memory term and dynamic boundary conditions, Global existence, asymptotic behavior and blow up of solutions for a Kirchhoff-type equation with nonlinear boundary delay and source terms, Global existence and finite time blow-up of solutions for a class of Dirichlet-to-Neumann operator heat flow equations with critical growth, Global existence and stability of solution for a p-Kirchhoff type hyperboc equation with variable exponents, Global existence and blow-up of solutions to a class of nonlocal parabolic equations, Global existence and finite time blow-up of solutions for the semilinear pseudo-parabolic equation with a memory term, Global existence, finite time blow-up and vacuum isolating phenomena for semilinear parabolic equation with conical degeneration, On the decay and blow-up of solution for coupled nonlinear wave equations with nonlinear damping and source terms, Asymptotic behavior for a class of logarithmic wave equations with linear damping, Global existence and finite time blow up for a class of semilinear wave equations on \(\mathbb{R}^N\), Upper and lower bounds of blowup time to a strongly damped wave equation of Kirchhoff type with memory term and nonlinear dissipations, Analysis of a pseudo-parabolic equation by potential wells, On decay and blow-up of solutions for a system of viscoelastic equations with weak damping and source terms, Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models, Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents