On Schr\"odinger Maps
classification
🧮 math.AP
keywords
localmapsodingerschrwell-posednessdatadimensionsequation
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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 $H^{\frac{n}{2}+\e}$.
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