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Local Nonautonomous Schrödinger Flows on Kähler Manifolds

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Abstract

In this paper, we prove that the nonautonomous Schrödinger flow from a compact Riemannian manifold into a Kähler manifold admits a local solution. Under some certain conditions, the solution is unique and has higher regularity.

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Authors and Affiliations

  1. Institute of Applied Physics and Computational Mathematics, China Academy of Engineering Physics, Beijing, 100088, P. R. China

    Zong Lin Jia

  2. Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100190, P. R. China

    You De Wang

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  1. Zong Lin Jia
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  2. You De Wang
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Correspondence to Zong Lin Jia or You De Wang.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 11731001 and 11471316)

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Jia, Z.L., Wang, Y.D. Local Nonautonomous Schrödinger Flows on Kähler Manifolds. Acta. Math. Sin.-English Ser. 35, 1251–1299 (2019). https://doi.org/10.1007/s10114-019-8303-y

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  • DOI: https://doi.org/10.1007/s10114-019-8303-y

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