Absence of embedded spectrum for nonlinear Schrödinger equations linearized around one dimensional ground states

2025/03/04 by Collot, Charles, Germain, Pierre, Pacherie, Eliot · 1 citation
#35Q51 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.02957

Abstract

We consider the nonlinear Schrödinger equation in dimension one for a generic nonlinearity. We show that ground states do not have embedded eigenvalues in the essential spectrum of their linearized operators.

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