Global nonautonomous Schrodinger flows on Herrnitian locally symmetric spaces  

作　　者：王宏玉 王友德 

出　　处：《Science China Mathematics》2002年第5期549-561,共13页中国科学：数学（英文版）

基　　金：We would like to thank Kung-Ching Chang and Wei-Yue Ding for their valuablecomments and helpful discussions. This work was partially supported by National University of Singapore Academic Research Fund (Grant RP3982718); the National Natural Science F

摘　　要：In this paper, we consider the global existence of one-dimensional nonautonomous (inhomogeneous) Schrodinger flow. By exploiting geometric symmetries, we prove that, given a smooth initial map, the Cauchy problem of the nonautonomous (inhomogeneous) Schrodinger 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.In this paper, we consider the global existence of one-dimensional nonautonomous (inhomoge-neous) Schrodinger flow. By exploiting geometric symmetries, we prove that, given a smooth initial map, the Cauchy problem of the nonautonomous (inhomogeneous) Schrodinger 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.

关 键 词：NONAUTONOMOUS SCHRODINGER flow  INHOMOGENEOUS HEISENBERG system  HERMITIAN LOCALLY symmetric spaces  conservation law. 

分 类 号：O177[理学—数学]