Strong instability of standing waves for nonlinear Schrödinger equations with a delta potential (1411.2620v1)

Published 10 Nov 2014 in math.AP

Abstract: We study strong instability (instability by blowup) of standing wave solutions for a nonlinear Schr\"odinger equation with an attractive delta potential and $L^{2$-supercritical} power nonlinearity in one space dimension. We also compare our sufficient condition on strong instability with some known results on orbital instability.

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