Large-time existence results for the nonlocal NLS around ground state solutions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866918151058358272 |
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| author | Takaoka, Hideo Tamaki, Toshihiro |
| author_facet | Takaoka, Hideo Tamaki, Toshihiro |
| contents | This paper discusses about solutions of the nonlocal nonlinear Schrodinger equation. We prove that the solution remains close to the orbit of the soliton for a large-time, if the initial data is close to the ground state solitons. The proof uses the hyperbolic dynamics near ground state, which exhibits properties of local structural stability of solutions with respect to the flows of the nonlocal nonlinear Schrodinger equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09784 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large-time existence results for the nonlocal NLS around ground state solutions Takaoka, Hideo Tamaki, Toshihiro Analysis of PDEs 35Q51, 35Q55, 42B37 This paper discusses about solutions of the nonlocal nonlinear Schrodinger equation. We prove that the solution remains close to the orbit of the soliton for a large-time, if the initial data is close to the ground state solitons. The proof uses the hyperbolic dynamics near ground state, which exhibits properties of local structural stability of solutions with respect to the flows of the nonlocal nonlinear Schrodinger equation. |
| title | Large-time existence results for the nonlocal NLS around ground state solutions |
| topic | Analysis of PDEs 35Q51, 35Q55, 42B37 |
| url | https://arxiv.org/abs/2407.09784 |