Global existence and uniqueness of Schrödinger maps in dimensions d≥ 4

2006/07/23 by Bejenaru, I., Ionescu, A. D., Kenig, C. E.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0607579

Abstract

In dimensions d≥ 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.

Related

• Global Schrödinger maps
• Low-regularity Schrödinger maps, II: global well-posedness in dimensions d≥ 3
• Global results for Schrödinger Maps in dimensions n ≥ 3
• Global well-posedness for the Schrödinger map problem with small Besov norm
• Conditional global regularity of Schr "odinger maps: sub-threshold\n dispersed energy