辽宁石油化工大学学报2011，Vol.31Issue(2)：73-76,4.DOI:10.3696/j.issn.1672-6952.2011.02.019
直和空间上对称微分算子自共轭域的辛几何刻画(Ⅵ)
Symplectic Geometry Characterization of Self-Adjoint Domains for Symmetric Differential Operators in Direct Sum Spaces(Ⅵ)
摘要
Abstract
Interior singular points were mainly studied in this paper,which means the characterization of self-adjoint domains for symmetric differential operators in the direct sum spaces. There exist the different deficiency indices at (n, n)singular points. Therefore by constructing different quotient spaces and using the method of symplectic geometry, it is possible to study self-adjoint extensions of symmetric differential operators in the direct sum spaces. The classification and description of complete Lagrangian submanifold that corresponds with self-adjoint domains of second order differential operators were also produced .关键词
微分算子/辛空间/Lagrangian子流型/奇异点/直和空间Key words
Differential operators/Symplectic spaces/ Lagrangian submanifold/ Singular points/ Direct sum spaces分类
数理科学引用本文复制引用
王志敬..直和空间上对称微分算子自共轭域的辛几何刻画(Ⅵ)[J].辽宁石油化工大学学报,2011,31(2):73-76,4.基金项目
辽宁省教育厅高校科研项目(2004F100) （2004F100）
辽宁石油化工大学重点学科建设资助项目(K200409). （K200409）
