Inverse scattering for the nonlinear magnetic Schrodinger equation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916772260610048 |
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| author | Wei, Lei Huang, Hua |
| author_facet | Wei, Lei Huang, Hua |
| contents | In this paper, we focus on the inverse scattering problem for the nonlinear Schrodinger equation with magnetic potentials. Specifically, we investigate whether the scattering operator associated with the nonlinear Schrodinger equation can uniquely determine the magnetic potential. Our main goal is to establish the uniqueness result for the magnetic potential based on the scattering data obtained from the scattering operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01246 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse scattering for the nonlinear magnetic Schrodinger equation Wei, Lei Huang, Hua Analysis of PDEs 81U40, 35Q60, 35Q55 In this paper, we focus on the inverse scattering problem for the nonlinear Schrodinger equation with magnetic potentials. Specifically, we investigate whether the scattering operator associated with the nonlinear Schrodinger equation can uniquely determine the magnetic potential. Our main goal is to establish the uniqueness result for the magnetic potential based on the scattering data obtained from the scattering operator. |
| title | Inverse scattering for the nonlinear magnetic Schrodinger equation |
| topic | Analysis of PDEs 81U40, 35Q60, 35Q55 |
| url | https://arxiv.org/abs/2506.01246 |