Stability of periodic nonlinear Schrödinger equation

DOI10.1016/j.na.2007.11.016zbMath1152.35489OpenAlexW1965294406MaRDI QIDQ960191

Juan Pablo Borgna

Publication date: 16 December 2008

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.2007.11.016

zbMATH Keywords

perturbation methodorbital stabilityground states existence

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Existence of ground states for a one-dimensional relativistic Schrödinger equation

Cites Work

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• Existence of solitary waves in higher dimensions
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Lyapunov stability of ground states of nonlinear dispersive evolution equations
• A Remark on the Blowing-Up of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
• On the stability theory of solitary waves

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