Abstract

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

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1033-1065
Launched on MUSE
2008-08-07
Open Access
No
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