Local well-posedness of the Schr\"odinger flow into $\mathbb{S}^2$ with natural boundary conditions

Bo Chen; Youde Wang

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arXiv · 2512.23201

Local well-posedness of the Schr\"odinger flow into $\mathbb{S}^2$ with natural boundary conditions

Bo Chen·Youde Wang

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Abstract

In this paper, we develop a new approximation scheme to solve the local well-posedness problem for the Schr\"odinger flow into the standard unit 2-sphere $\mathbb{S}^2\subset\mathbb{R}^3$ (i.e., the Landau-Lifshitz equation) with natural boundary conditions.

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Bo Chen, Youde Wang. 2025-12-29. Local well-posedness of the Schr\"odinger flow into $\mathbb{S}^2$ with natural boundary conditions. https://arxiv.org/abs/2512.23201

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