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对Ｈｅｉｓｅｎｂｅｒｇ自旋铁磁链方程进行了研究，应用Ｌｅｒａｙ－Ｓｃｈａｕｄｅｒ固定点定理，在通常的Ｓｏｂｏｌｅｖ空间，得到了该方程的整体存在性．
The Heisenberg spin ferromagnetic chain equation is studied and the global existence of the equation is obtained in the general Sobolev space using the Leray-Schauder fixed point theorem.