On well-posedness of the s-Schr\"odinger maps in the subcritical regime

Ahmed Dughayshim

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arXiv · 2512.18170

On well-posedness of the s-Schr\"odinger maps in the subcritical regime

Ahmed Dughayshim

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Abstract

We study well-posedness of the $s$-Schr\"odinger map equation in dimension $n \geq 3$ in the subcritical regime, more precisely we establish a local well-posedness result when the initial data is $u_{0} \in B^{\sigma}_{2,1}$ with $ \sigma \geq \frac{n+1}{2}$ and $ \Vert u_{0} \Vert_{B^{\sigma}_{2,1}} \ll 1.$

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Ahmed Dughayshim. 2025-12-20. On well-posedness of the s-Schr\"odinger maps in the subcritical regime. https://arxiv.org/abs/2512.18170

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