On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion

DOI10.3934/CPAA.2018067zbMath1393.35270OpenAlexW2794836115MaRDI QIDQ1659601

Wen Feng, Milena Stanislavova, Atanas G. Stefanov

Publication date: 22 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018067

zbMATH Keywords

spectral stabilitystanding wavesfractional Klein-Gordon equationfractional NLS

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elliptic equations (35J60) Boundary value problems for nonlinear higher-order PDEs (35G30) Fractional partial differential equations (35R11)

Related Items (6)

On the normalized ground states for the Kawahara equation and a fourth order NLS ⋮ The existence and stability of normalized solutions for a bi-harmonic nonlinear Schrödinger equation with mixed dispersion ⋮ Existence and dynamics of normalized solutions to nonlinear Schrödinger equations with mixed fractional Laplacians ⋮ Stability of solitary waves of a nonlinear beam equation ⋮ Ground states for the nonlinear Schrödinger equation under a general trapping potential ⋮ Existence and stability of solitary waves for the inhomogeneous NLS

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