摘要
研究了直和空间上的二阶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,当微分算子在端点处的亏指数均取(2,2)时,通过构造商空间,应用辛几何的方法讨论了直和空间的对称微分算子的自共轭扩张问题,并给出了与二阶微分算子自共轭域相对应的完全Lagrangian子流型的分类与描述。
The characterization of self-adjoint domains for symmetric differential operators with interior singular points in the direct sum spaces 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 discussed . The classification and description of complete Lagrangian submanifoht that correspond with self-adjoint domains of second order differential operators were given.
出处
《石油化工高等学校学报》
CAS
2008年第1期92-95,共4页
Journal of Petrochemical Universities
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)
