Global existence and uniqueness of Schrödinger maps in dimensions $d\ge 4$

Abstract

In dimensions $d\ge 4$, 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 frames

References in corpus (2)

• On Schrödinger Maps
• Global well-posedness of the Benjamin-Ono equation in low-regularity spaces