%0 Journal Article %T On Schr£żdinger Maps %A Ioan Bejenaru %J Mathematics %D 2006 %I arXiv %X 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 $H^{\frac{n}{2}+\e}$. %U http://arxiv.org/abs/math/0604255v1