Numerical verification of a gap condition for a linearized NLS equation

Abstract

We make a detailed numerical study of the spectrum of two Schrödinger operators L± arising in the linearization of the supercritical nonlinear Schrödinger equation (NLS) about the standing wave, in three dimensions. This study was motivated by a recent result of the second author on conditional asymptotic stability of solitary waves in the case of a cubic… (More)

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