J-对称微分算子自共轭域的辛几何刻画(Ⅰ)  

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

作　　者：姜凤利[1] 赵晓颖[1] 

机构地区：[1]辽宁石油化工大学理学院

出　　处：《辽宁石油化工大学学报》2011年第1期72-75,共4页Journal of Liaoning Petrochemical University

摘　　要：研究了二阶J-对称微分算子辛几何刻画问题。由于对称微分算子在端点处的亏指数取值情况不同,当微分算子在端点取(2,2)时,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 characterization of self-adjoint domains for symmetric differential operators was investigated,By constructing different quotient spaces,using the method of symplectic geometry,the self-adjoint extensions of symmetric differential operators in the direct sum spaces for the different deficiency indices at（2,2） singular points was studied.The classification and description of complete J-Lagrangian submanifold that correspond with self-adjoint domains of second order differential operators were given.

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]