Global results for Schrödinger Maps in dimensions $n\ge 3$

Abstract

We study the global well-posedness theory for the Schrödinger Maps equation. We work in $n+1$ dimensions, for $n\ge 3$, and prove a local well-posedness for small initial data in ${\dot{B}}_{2,1}^{\frac{n}{2}}$.

The previous version had few gaps in the argument. The new version fixes them

References in corpus (1)

• On Schrödinger Maps

Cited by in corpus (2)

• Global Schrödinger maps
• Local well-posedness for hyperbolic-elliptic Ishimori equation