Abscence of embedded spectrum for nonlinear Schr\'odinger equations linearized around one dimensional ground states
| Title: | Abscence of embedded spectrum for nonlinear Schr\'odinger equations linearized around one dimensional ground states |
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| 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 |
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