On the Local Solvability and Stability for the Inverse Spectral Problem of the Generalized Dirichlet–Regge Problem

作     者：Xiao Chuan XU Natalia Pavlovna BONDARENKO Xiao Chuan XU;Natalia Pavlovna BONDARENKO

作者机构：School of Mathematics and StatisticsNanjing University of Information Science and TechnologyNanjing 210044P.R.China Department of Applied Mathematics and PhysicsSamara National Research UniversityMoskovskoye Shosse 34Samara 443086Russia Department of Mechanics and MathematicsSaratov State UniversityAstrakhanskaya 83Saratov 410012Russia 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2022年第38卷第7期

页      面：1229-1240页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by NSFC(Grant No.11901304) Russian Foundation for Basic Research(Grant Nos.20-31-70005 and 19-01-00102) 

主　　题：Dirichlet-Regge problem inverse spectral problem local solvability stability reconstruction algorithm 

摘      要：For the generalized Dirichlet–Regge problem with complex coefficients,we prove the local solvability and stability for the inverse spectral problem,which indicates an improved result of the previous work([Journal of Geometry and Physics,159,103936(2021)]).