Global existence and energy decay estimate of solutions for a class of nonlinear higher-order wave equation with general nonlinear dissipation and source term
From MaRDI portal
Publication:2357597
DOI10.3934/DCDSS.2017064zbMath1364.35184OpenAlexW2623225148MaRDI QIDQ2357597
Publication date: 14 June 2017
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.2017064
Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)
Cites Work
- Unnamed Item
- Unnamed Item
- Global existence and blowup of solutions for a class of nonlinear higher-order wave equations
- Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation
- Stable and unstable sets for evolution of parabolic and hyperbolic type
- Existence and asymptotic behavior of global solutions for a class of nonlinear higher-order wave equation
- On global solutions and blow-up of solutions for a nonlinearly damped Petrovsky system
- Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term
- Existence of a solution of the wave equation with nonlinear damping and source terms
- On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
- Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
- Global existence of solutions to a wave equation with damping and source terms
- On global solution of nonlinear hyperbolic equations
- A new method to obtain decay rate estimates for dissipative systems
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Some remarks on the wave equations with nonlinear damping and source terms
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
- Global existence and nonexistence in a system of Petrovsky
This page was built for publication: Global existence and energy decay estimate of solutions for a class of nonlinear higher-order wave equation with general nonlinear dissipation and source term
