向量微分算子的自伴扩张

On Selfadjoint Extensions of Vector-valued Differential Operators

本文推广应用[2～4]的方法,讨论向量微分算子在一般情况下的自拌扩张问题,给出了形式对称向量微分表达式一切自拌扩张的直接而完全的描述,完善了[1]中的的结果。

In this paper, we discuss the problem of selfadjoint extensions of vector-valued differential operators in general case by extensively using the methods of [2～4], give the direct and complete description of domains of selfadjoint extensions of formally symmetric vector-valued differential operators, and perfect the results of [1].