On well-posedness of the s-Schrödinger maps in the subcritical regime

Fuente: arXiv
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Autore principale: Dughayshim, Ahmed
Natura: Preprint
Pubblicazione: 2025
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author Dughayshim, Ahmed
author_facet Dughayshim, Ahmed
contents We study well-posedness of the $s$-Schrödinger 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 $u_{0} \in B^σ_{2,1}$ with $ σ\geq \frac{n+1}{2}$ and $ \Vert u_{0} \Vert_{B^σ_{2,1}} \ll 1.$
format Preprint
id arxiv_https___arxiv_org_abs_2512_18170
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On well-posedness of the s-Schrödinger maps in the subcritical regime
Dughayshim, Ahmed
Analysis of PDEs
We study well-posedness of the $s$-Schrödinger 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 $u_{0} \in B^σ_{2,1}$ with $ σ\geq \frac{n+1}{2}$ and $ \Vert u_{0} \Vert_{B^σ_{2,1}} \ll 1.$
title On well-posedness of the s-Schrödinger maps in the subcritical regime
topic Analysis of PDEs
url https://arxiv.org/abs/2512.18170