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

2025/12/20 by Ahmed Dughayshim, Dughayshim, Ahmed
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · doi:10.48550/arxiv.2512.18170

openalex publication_date 2025/12/20 · openalex created_date 2025/12/24 · openalex updated_date 2026/07/28

Abstract

We study well-posedness of the s-Schrödinger map equation in dimension n ≥ 3 in the subcritical regime, more precisely we establish a local well-posedness result when the initial data is u₀ ∈ B^σ_2,1 with σ≥ (n+1)/(2) and \Vert u₀ \Vert_B^σ_2,1 ≪ 1.

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