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

Carlos Kenig; Daniel Pollack; Gigliola Staffilani; Tatiana Toro; Tobias Lamm

arxiv: 0911.3141 · v1 · submitted 2009-11-16 · 🧮 math.AP · math.DG

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

Carlos Kenig , Tobias Lamm , Daniel Pollack , Gigliola Staffilani , Tatiana Toro This is my paper

classification 🧮 math.AP math.DG

keywords dingerhlerschrcauchycompactdataflowflows

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

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