Local well-posedness of the Schrödinger flow into $\mathbb{S}^2$ with natural boundary conditions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913169210867712 |
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| author | Chen, Bo Wang, Youde |
| author_facet | Chen, Bo Wang, Youde |
| contents | In this paper, we develop a new approximation scheme to solve the local well-posedness problem for the Schrödinger flow into the standard unit 2-sphere $\mathbb{S}^2\subset\mathbb{R}^3$ (i.e., the Landau-Lifshitz equation) with natural boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23201 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local well-posedness of the Schrödinger flow into $\mathbb{S}^2$ with natural boundary conditions Chen, Bo Wang, Youde Analysis of PDEs Differential Geometry In this paper, we develop a new approximation scheme to solve the local well-posedness problem for the Schrödinger flow into the standard unit 2-sphere $\mathbb{S}^2\subset\mathbb{R}^3$ (i.e., the Landau-Lifshitz equation) with natural boundary conditions. |
| title | Local well-posedness of the Schrödinger flow into $\mathbb{S}^2$ with natural boundary conditions |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2512.23201 |