Strong instability of standing waves for nonlinear Klein-Gordon equations
From MaRDI portal
Publication:1770163
DOI10.3934/dcds.2005.12.315zbMath1065.35198OpenAlexW2062343743MaRDI QIDQ1770163
Grozdena Todorova, Masahito Ohta
Publication date: 11 April 2005
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2005.12.315
Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) Second-order nonlinear hyperbolic equations (35L70)
Related Items (14)
Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations ⋮ Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation ⋮ A note on strong instability of standing waves for some semilinear wave and heat equations ⋮ A note on the instability of a focusing nonlinear damped wave equation ⋮ Global existence, blow-up and asymptotic behavior of solutions for a class of coupled nonlinear Klein-Gordon equations with damping terms ⋮ Instability of the standing waves for the nonlinear Klein-Gordon equations in one dimension ⋮ Stability and instability of radial standing waves to NLKG equation with an inverse-square potential ⋮ Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential ⋮ Instability of standing wave for the Klein-Gordon-Hartree equation ⋮ Stability and instability of periodic standing wave solutions for some Klein-Gordon equations ⋮ Global existence, asymptotic behavior and blow-up of solutions for coupled Klein-Gordon equations with damping terms ⋮ Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations ⋮ Stability of standing waves for a nonlinear Klein-Gordon equation with delta potentials ⋮ On nonlinear Schrödinger equations derived from the nonrelativistic limit of nonlinear Klein-Gordon equations in de Sitter spacetime
This page was built for publication: Strong instability of standing waves for nonlinear Klein-Gordon equations