Geometrical Characterizations of Non-Radiating Sources at Polyhedral and Conical Corners with Applications

作     者：Huaian Diao Yueran Geng Hongyu Liu Qinghua Yu Huaian Diao;Yueran Geng;Hongyu Liu;Qinghua Yu

作者机构：School of Mathematics and Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of EducationJilin UniversityChangchunJilin 130012P.R.China. Department of MathematicsCity University of Hong KongKowloonHong Kong SARP.R.China. The School Attached to Dalian Maritime UniversityDalian 116000P.R.China. 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2023年第39卷第4期

页      面：523-538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：the National Natural Science Foundation of China(Grant No.12371422) the Fundamental Research Funds for the Central Universities,JLU(Grant No.93Z172023Z01) The work of Y.Geng is supported by the Graduate Innovation Fund of Jilin University(Grant No.2023Cx276) the Hong Kong RGC General Research Funds(Projects 12302919,12301420 and 11300821) the NSFC/RGC Joint Research Fund(Project N.City U101/21) the France-Hong Kong ANR/RGCJoint Research(Grant No.A-HKBU 203/19) 

主　　题：Non-radiating sources corner singularity vanishing inverse scattering sin-gle far-field measurement 

摘      要：Considering the acoustic source scattering problems,when the sour-ce is non-radiating/invisible,we investigate the geometrical characterization for the underlying sources at polyhedral and conical *** is revealed that the non-radiating source with Holder continuous regularity must vanish at the *** this kind of geometrical characterization of non-radiating sources,we establish local and global unique determination for a source with the polyhedral or corona shape support by a single far field *** by a single far field measurement constitutes of a long standing problem in inverse scattering problems.