Standing waves and global existence for the nonlinear wave equation with potential and damping terms
From MaRDI portal
Publication:1026022
DOI10.1016/j.na.2008.11.019zbMath1173.35085OpenAlexW1976224435MaRDI QIDQ1026022
Yi Jiang, Zai-Hui Gan, Yi Ran He
Publication date: 24 June 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.11.019
Variational methods applied to PDEs (35A15) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for second-order hyperbolic equations (35L15)
Related Items
Global existence, blow-up and asymptotic behavior of solutions for a class of coupled nonlinear Klein-Gordon equations with damping terms, Lower and upper bounds for the blow-up time of a class of damped fourth-order nonlinear evolution equations, Exact conditions of blow-up and global existence for the nonlinear wave equation with damping and source terms, Sharp criteria of global existence and blow-up for a type of nonlinear parabolic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
- Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
- Global nonexistence theorems for a class of evolution equations with dissipation
- A blow up result for a nonlinear wave equation with damping and vanishing initial energy in \(\mathbb R^N\)
- Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
- 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
