A Note on Berestycki-Cazenave's Classical Instability Result for Nonlinear Schrödinger Equations

A Note on Berestycki-Cazenave's Classical Instability Result for Nonlinear Schrödinger Equations

In this note we give an alternative, shorter proof of the classical result of Berestycki and Cazenave on the instability by blow-up for the standing waves of some nonlinear Schrödinger equations.

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Veröffentlicht in:Advanced nonlinear studies 2008-08, Vol.8 (3), p.455-463
1. Verfasser: Le Coz, Stefan
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
blow-up
instability
Mathematics
Nonlinear Schrödinger equations
standing waves
variational methods
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Beschreibung
Zusammenfassung:In this note we give an alternative, shorter proof of the classical result of Berestycki and Cazenave on the instability by blow-up for the standing waves of some nonlinear Schrödinger equations.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2008-0302