Spectral stability analysis for standing waves of a perturbed Klein-Gordon equation

DOI10.3934/PROC.2015.0359zbMath1343.35027arXiv1409.7095OpenAlexW1456535321MaRDI QIDQ260792

Milena Stanislavova, Aslihan Demirkaya, Panayotis G. Kevrekidis, Atanas G. Stefanov

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7095

zbMATH Keywords

linear stabilityexplicit frequency conditionVakhitov-Kolokolov criterion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Invariant manifold theory for dynamical systems (37D10) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (1)

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Cites Work

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• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Spectral stability analysis for special solutions of second order in time PDEs: the higher-dimensional case
• On the Spectral Stability of Kinks in Some PT-Symmetric Variants of the Classical Klein-Gordon Field Theories
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations
• Physical realization of -symmetric potential scattering in a planar slab waveguide
• Unstable Ground State of Nonlinear Klein-Gordon Equations

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