The Cauchy problem for Schrödinger flows into Kähler manifolds

Carlos Kenig, Tobias Lamm, Daniel Pollack +2

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