Global results for Schrödinger Maps in dimensions n ≥ 3

2006/05/11 by Bejenaru, Ioan
#35K55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0605315

Abstract

We study the global well-posedness theory for the Schrödinger Maps equation. We work in n+1 dimensions, for n ≥ 3, and prove a local well-posedness for small initial data in B^(n)/(2)_2,1.

Related

• On Schrödinger Maps
• Low-regularity Schrödinger maps, II: global well-posedness in dimensions d≥ 3
• On well-posedness of the s-Schrödinger maps in the subcritical regime
• Global existence and uniqueness of Schrödinger maps in dimensions d≥ 4
• Global well-posedness for the Schrödinger map problem with small Besov norm