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;
2012-01-01
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.File in questo prodotto:
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