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

Details Global results for Schrödinger Maps in dimensions $n \geq 3$ Global results for Schrödinger Maps in dimensions $n \geq 3$

2006-05-11

arxiv.org/abs/math/0605315v2

Mathematics

Analysis of PDEs

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

Scientific paper

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

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