摘要
考虑奇型实系数微分算式ｌ（ｙ）＝∑ｊ＝０＾ｎ（－１）＾ｊ（ｐｎ－ｊ（ｘ）ｙ（ｊ））＾（ｊ）（ｘ∈「ａ，∞」）．在函数空间Ｌ＾２「ａ，∞）上，本文借助边界条件刻画了ｌ（ｙ）生成极大增生算子的充要条件，及具ｌ（ｙ）最小生成算子为非向自伴扩张的充要条件。
Let l(y) = be a symmetric differential expression defined on interval [a). In L2 , we give the complete characterization for all maximal accretive operators associated with l(y) via explicit boundary conditions, and we obtain the complete analytic description for all nonnegative self-adjoint extensions of the minimal operator generated by l(y).
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2000年第2期291-300,共10页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金!19801027
关键词
极大增生算子
非负自伴扩张
奇型微分算子
Maximal accretive operator, IIm space, Dirichlet integration, Nonnegative self-adjoint extension
