Global results for Schrödinger Maps in dimensions $n \geq 3$
Abstract
Description
We study the global well-posedness theory for the Schrödinger Maps equation. We work in $n+1$ dimensions, for $n \geq 3$, and prove a local well-posedness for small initial data in $\dot{B}^{\frac{n}{2}}_{2,1}$.
The previous version had few gaps in the argument. The new version fixes them
The previous version had few gaps in the argument. The new version fixes them