On Schrödinger Maps

Details On Schrödinger Maps On Schrödinger Maps

2006-04-11

arxiv.org/abs/math/0604255v1

Mathematics

Analysis of PDEs

Scientific paper

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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