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On Schrödinger maps

delete2008-08-01
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DOI:10.1353/ajm.0.0014delete
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摘要

摘要

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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 $H^{\frac{n}{2}+ \varepsilon}$.

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