度量图上两个微分算子乘积的自伴性  

The Self-Adjointness of the Product of Two Differential Operators on Metric Graph

作　　者：王红军 赵佳 WANG Hongjun;ZHAO Jia(College of Science,Hebei University of Technology,Tianjin 300401,China)

机构地区：[1]河北工业大学理学院,天津300401

出　　处：《应用泛函分析学报》2020年第4期207-218,共12页Acta Analysis Functionalis Applicata

基　　金：河北省自然科学基金(A2019202205)。

摘　　要：本文研究了度量图上二阶及四阶局部微分算子积的自伴顶点条件.在研究闭区间[a,b]上积算子自伴性的基础上,运用度量图上高阶局部微分算子的自伴顶点条件得到了积算子自伴的充分必要条件.此外,给出了积算子自伴与原算子自伴之间的关系.In this paper,we study the self-adjoint vertex conditions of the product of two second-order or fourth-order local differential operators on metric graph.Based on the self-adjointness of the product operator on closed interval [a,b],the necessary and sufficient conditions which make the product operators being self-adjoint operators are obtained by using the self-adjoint vertex conditions of the higher-order differential operator on metric graph.In addition,the article gives the relations between the selfadjointness of the product operators and the self-adjointness of the original operators.

关 键 词：有限图 微分算式 积算子 自伴顶点条件 

分 类 号：O175.3[理学—数学]