Global nonautonomous Schr?dinger flows on Hermitian locally symmetric spaces |
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| Authors: | Hongyu Wang and Youde Wang |
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| Institution: | (1) Department of Mathematics, Yangzhou University, 225002 Yangzhou, China;(2) Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080 Beijing, China |
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| Abstract: | In this paper, we consider the global existence of one-dimensional nonautonomous (inhomogeneous) Schr?dinger flow. By exploiting
geometric symmetries, we prove that, given a smooth initial map, the Cauchy problem of the nonautonomous (inhomogeneous) Schr?dinger
flow from S1 into a Hermitian locally symmetric space admits a unique global smooth solution, and then we address the global existence
of the Cauchy problem of inhomogeneous Heisenberg spin ferromagnet system. |
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| Keywords: | nonautonomous Schr?dinger flow inhomogeneous Heisenberg system Hermitian locally symmetric spaces conservation law |
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