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arXiv:math/0605315 [math.AP]AbstractReferencesReviewsResources

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

Ioan Bejenaru

Published 2006-05-11, updated 2006-08-24Version 2

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 $\dot{B}^{\frac{n}{2}}_{2,1}$.

Comments: The previous version had few gaps in the argument. The new version fixes them
Categories: math.AP
Subjects: 35K55
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