Absence of embedded spectrum for nonlinear Schrödinger equations linearized around one-dimensional ground states
Abstract
We consider the nonlinear Schrödinger equation in dimension one for a large class of nonlinearities. We show that ground states do not have embedded eigenvalues in the essential spectrum of their linearized operators.
Fields of Study & Subjects
Nonlinear Photonic Systems
Numerical methods for differential equations
Electromagnetic Simulation and Numerical Methods
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 8
- Pages
- 3295–3301
- Publication date
- 20 May 2026
- Language
- EN