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Local Nonautonomous Schrödinger Flows on Kähler Manifolds

2018/02/01 by Zonglin Jia, Jia, Zonglin, Youde Wang +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1802.00137

openalex publication_date 2018/02/01 · openalex created_date 2018/02/23 · openalex updated_date 2026/07/28

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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