Local Nonautonomous Schr\"{o}dinger Flows on K\"{a}hler Manifolds

Zonglin Jia; Youde Wang

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arXiv · 1802.00137

Local Nonautonomous Schr\"{o}dinger Flows on K\"{a}hler Manifolds

Zonglin Jia·Youde Wang

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Abstract

$\,\,\,\,\,\,$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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BibTeX RIS

Zonglin Jia, Youde Wang. 2018-02-01. Local Nonautonomous Schr\"{o}dinger Flows on K\"{a}hler Manifolds. https://arxiv.org/abs/1802.00137

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