摘要
考虑一类具有转移条件及复系数的二阶微分算子,通过定义一种与转移条件相关的内积,构造了一个新的Hilbert空间,在此空间中给出最大算子域和最小算子域,并证明这类具有转移条件的二阶微分算子是J-自伴算子.
A class of second order differential operators with transmission conditions and complex coefficients is investigated.For this purpose,a new Hilbert space is constructed by defining an inner product related to the transmission conditions,in which the maximal operator and the minimal operator domains are given.We prove that this class of second order differential operators with transmission conditions is J-Self-adjoint operator.
作者
李骥
许美珍
范北胜
LI Ji;XU Mei-zhen;FAN Bei-sheng(College of Science,Inner Mongolia University of Technology,Hohhot 010051,China;Department of Primary Education,Botou Vocational College,Botou 062150,China)
出处
《内蒙古工业大学学报（自然科学版）》
2020年第5期327-331,共5页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
国家自然科学基金项目(11661059,11561051)
内蒙古工业大学科学研究项目(ZD201716)
内蒙古工业大学高等教育教学改革项目(2018239)。
关键词
二阶微分算子
转移条件
J-自伴
second order differential operator
transmission conditions
J-self-adjoint
