Absence of embedded spectrum for nonlinear Schrödinger equations linearized around one dimensional ground states
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918071004823552 |
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| author | Collot, Charles Germain, Pierre Pacherie, Eliot |
| author_facet | Collot, Charles Germain, Pierre Pacherie, Eliot |
| contents | We consider the nonlinear Schrödinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02957 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Absence of embedded spectrum for nonlinear Schrödinger equations linearized around one dimensional ground states Collot, Charles Germain, Pierre Pacherie, Eliot Analysis of PDEs 35Q55, 35Q51 We consider the nonlinear Schrödinger 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. |
| title | Absence of embedded spectrum for nonlinear Schrödinger equations linearized around one dimensional ground states |
| topic | Analysis of PDEs 35Q55, 35Q51 |
| url | https://arxiv.org/abs/2503.02957 |