We study the instability of standing waves for nonlinear Schrodinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instability in any dimension. For that purpose, we establish a Strichartz type estimate for the propagator generated by the linearized operator around standing wave.

Nonlinear instability of linearly unstable standing waves for nonlinear Schrodinger equations

GUEORGUIEV, VLADIMIR SIMEONOV;
2012

Abstract

We study the instability of standing waves for nonlinear Schrodinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instability in any dimension. For that purpose, we establish a Strichartz type estimate for the propagator generated by the linearized operator around standing wave.
Gueorguiev, VLADIMIR SIMEONOV; Ohta, Masahito
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/158565
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