Low-regularity Schrödinger maps, II: global well-posedness in dimensions $d\ge 3$

Abstract

In dimensions greater than or equal to 3, we prove that the Schroedinger map initial-value problem is globally well-posed for small data in the critical Besov space.

References in corpus (2)

• Global regularity of wave maps II. Small energy in two dimensions
• On Schrödinger Maps

Cited by in corpus (4)

• Equivariant Schrödinger Maps in two spatial dimensions
• Global Smooth Effects and Well-Posedness for the Derivative Nonlinear Schrödinger Equation with Small Rough Data
• Global Well-posedness for the fourth order nonlinear Schrödinger equations with small rough data in high demension
• Local well-posedness of a system describing laser-plasma interactions