Bibliographic Details
| Title: |
Abscence of embedded spectrum for nonlinear Schr\'odinger equations linearized around one dimensional ground states |
| Authors: |
Collot, Charles, Germain, Pierre, Pacherie, Eliot |
| Publication Year: |
2025 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Analysis of PDEs, 35Q55, 35Q51 |
| More Details: |
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.
Comment: 6 pages |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2503.02957 |
| Accession Number: |
edsarx.2503.02957 |
| Database: |
arXiv |
