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arXiv · 0911.3141

The Cauchy problem for Schr\"{o}dinger flows into K\"{a}hler manifolds

Carlos Kenig·Tobias Lamm·Daniel Pollack·Gigliola Staffilani·Tatiana Toro
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Abstract

We prove local well-posedness of the Schr\"{o}dinger flow from $R^n$ into a compact K\{"a}hler manifold $N$ with initial data in $H^{s+1}(R^n, N)$ for $s\geq n/2+4$.

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Carlos Kenig, Tobias Lamm, Daniel Pollack, Gigliola Staffilani, Tatiana Toro. 2009-11-16. The Cauchy problem for Schr\"{o}dinger flows into K\"{a}hler manifolds. https://arxiv.org/abs/0911.3141

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