Local Nonautonomous Schrödinger Flows on Kähler Manifolds

Authors
Jia, Zong Lin Wang, You De
Citation
Jia, Zong Lin et Wang, You De, Local Nonautonomous Schrödinger Flows on Kähler Manifolds, Acta mathematica Sinica. English series (Print) , 35(8), 2019, pp. 1251-1299
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
35
Issue
8
Year of publication
2019
Pages
1251 - 1299
Database
ACNP
SICI code
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.