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arXiv · 2503.02957

Absence of embedded spectrum for nonlinear Schr\"odinger equations linearized around one dimensional ground states

Charles Collot·Pierre Germain·Eliot Pacherie
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Abstract

We consider the nonlinear Schr\"odinger 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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Charles Collot, Pierre Germain, Eliot Pacherie. 2025-03-04. Absence of embedded spectrum for nonlinear Schr\"odinger equations linearized around one dimensional ground states. https://arxiv.org/abs/2503.02957

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