2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115092In dimensions $d\geq 4$, we prove that the Schrödinger map initial-value problem admits global (in time) solutions for smooth data with small norm in the critical Sobolev space.Added references on orthonormal framesAnalysis of PDEsGlobal existence and uniqueness of Schrödinger maps in dimensions $d\geq 4$text