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具反射边界条件的非自伴非紧的抽象边值问题
引用本文:叶建军,吴开谡.具反射边界条件的非自伴非紧的抽象边值问题[J].应用泛函分析学报,2002,4(4):371-375.
作者姓名:叶建军  吴开谡
作者单位:1. 西南交通大学数学系,四川,成都,610031
2. 中国原子能科学研究院核物理研究所,北京,102413
摘    要:研究具反射边界条件,非自伴非紧算子的抽象边界问题,证明了它等价一个Wiener-Hopf方程,并证明了方程的适定性。

关 键 词:反射边界条件  抽象边值问题  Wiener-Hopf方程  非自伴非紧算子
文章编号:1009-1327(2002)04-0371-05
修稿时间:2002年5月21日

The Abstract Boundary Value Problem of Non- selfadjoint and Non-compact Operator with Reflective Boundary Condition
YE Jian-jun,WU Kai-su.The Abstract Boundary Value Problem of Non- selfadjoint and Non-compact Operator with Reflective Boundary Condition[J].Acta Analysis Functionalis Applicata,2002,4(4):371-375.
Authors:YE Jian-jun  WU Kai-su
Institution:YE Jian-jun,WU Kai-suDepartment of Mathematics. Southwest Jiaotong University,Chengdu 610031. ChinaDepartment of Nuclear Physics. China Institute of Atomic Energy,Beijing 102413- China
Abstract:In this paper, the abstract boundary value problem of non-selfadjoint and non-compact operator with reflective boundary condition is studied. It is obtained that the this kind of problems is equal to a Wiener-Hopf equation and the well poset problem of the abstract boundary value is proved.
Keywords:reflective boundary condition  abstract boundary value problem  Wiener-Hopf  equation
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