Local Nonautonomous Schr\"{o}dinger Flows on K\"{a}hler Manifolds
classification
🧮 math.DG
keywords
dingerlocalmanifoldnonautonomousschrsolutionadmitsahler
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$\,\,\,\,\,\,$In this paper, we prove that the nonautonomous Schr\"{o}dinger flow from a compact Riemannian manifold into a K\"ahler manifold admits a local solution. Under some certain conditions, the solution is unique and has higher regularity.
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