环图上Sturm-Liouville算子的部分反谱问题  

A Partial Inverse Problem for the Sturm-Liouville Operator on Quantum Graphs with a Loop

作　　者：官声玉 吴东杰 Murat Sat 杨传富[1] Guan Shengyu;Wu Dongjie;Murat Sat;Yang Chuanfu(Department of Applied Mathematics,School of Science,Nanjing University of Science and Technology,Nanjing 210094;Faculty of Art and Sciences,Department of Mathematics,Erzincan University,Erzincan,Turkey)

机构地区：[1]南京理工大学理学院,南京210094 [2]Faculty of Art and Sciences,Department of Mathematics,Erzincan University,Erzincan,Turkey

出　　处：《数学物理学报（A辑）》2021年第2期289-295,共7页Acta Mathematica Scientia

基　　金：国家自然科学基金(11871031);江苏省自然科学基金(BK20201303)。

摘　　要：该文考虑量子环图上Sturm-Liouville算子.在一部分势函数已知情况下,通过谱数据重构未知势函数,并且给出其重构算法和唯一性定理.This deals with the Sturm-Liouville operator on the quantum graphs with a loop.Given the potential on a part of edges,we try to recover the remaining potential from the subspectrum.The uniqueness theorem and a constructive algorithm for the solution of this partial inverse problem are provided.

关 键 词：部分反问题 STURM-LIOUVILLE算子 量子图 RIESZ基 

分 类 号：O1751.1[理学—数学]