Absence of embedded spectrum for nonlinear Schr\"odinger equations linearized around one dimensional ground states
Analysis of PDEs
2025-06-27 v2
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.
Keywords
Cite
@article{arxiv.2503.02957,
title = {Absence of embedded spectrum for nonlinear Schr\"odinger equations linearized around one dimensional ground states},
author = {Charles Collot and Pierre Germain and Eliot Pacherie},
journal= {arXiv preprint arXiv:2503.02957},
year = {2025}
}
Comments
6 pages, new version with misprints corrected