J-对称微分算子自共轭域的辛几何刻画(Ⅲ)  

Symplectic Geometry Characterization of Self-Adjoint Domainsfor J-Symmetric Differential Operators(Ⅲ)

作　　者：王志敬[1] 李丽君[1] 

机构地区：[1]辽宁石油化工大学理学院,辽宁抚顺113001

出　　处：《辽宁石油化工大学学报》2011年第4期80-83,87,共5页Journal of Liaoning Petrochemical University

基　　金：辽宁省教育厅高校科研项目(2004F100);辽宁石油化工大学重点学科建设资助项目(K200409)

摘　　要：研究了二阶奇型J-对称微分算子辛几何刻画问题,通过构造商空间,应用辛几何的方法讨论了二阶J-对称微分算子的自共轭扩张问题。给出了与二阶微分算子自共轭域相对应的完全J-Lagrangian子流型的分类与描述。The symplectic geometry characterization of second order singular J- symmetric differential operators was investigated. By constructing different quotient spaces, self--adjoint extensions of second order J-- symmetric differential operators were studied using the method of symplectic geometry. Then classification and description of complete J- Lagrangian submanifold corresponding with self--adjoint domains of second order differential operators were obtained.

关 键 词：微分算子 J-辛空间 J—Lagrangian子流型 

分 类 号：O175.3[理学—数学]