Local Schrodinger flow into Kahler manifolds  

作　　者：丁伟岳 王友德 

出　　处：《Science China Mathematics》2001年第11期1446-1464,共19页中国科学：数学（英文版）

基　　金：National Key Basic Research Fund (Grant Nos. G1999075109 and G1999075107) ; the National Science Fund for Distinguished Young Scholars (Grant No. 10025104).

摘　　要：In this paper we show that there exists a unique local smooth solution for the Cauchy problem of the Schrodinger flow for maps from a compact Riemannian manifold into a complete Kahler manifold, or from a Euclidean space Rm into a compact Kahler manifold. As a consequence, we prove that Heisenberg spin system is locally well-posed in the appropriate Sobolev spaces.In this paper we show that there exists a unique local smooth solution for the Cauchy problem of the Schrodinger flow for maps from a compact Riemannian manifold into a complete Kahler manifold, or from a Euclidean space Rm into a compact Kahler manifold. As a consequence, we prove that Heisenberg spin system is locally well-posed in the appropriate Sobolev spaces.

关 键 词：Schriidinger flow Heisenberg spin system local existence Kahler manifold. 

分 类 号：O186[理学—数学]