Inverse source problems in the Helmholtz equation

被引：0
|
作者：
Saitoh, S [1 ]
机构：
[1] Gunma Univ, Fac Engn, Dept Math, Kiryu, Gumma 3768515, Japan
来源：
INVERSE PROBLEMS AND RELATED TOPICS | 2000年 / 419卷
关键词：
integral transform; reproducing kernel; Helmholtz equation; inverse source problem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we shall consider the inverse source problems in the Helmholtz equation, but in the first part in this paper we shall introduce general methods for linear transforms in the framework of Hilbert spaces and new ideas for some general inverse problems in the linear systems based on the recent research note ([6]). The original parts in mathematics were written before the publication of [6] as an original work.
引用
收藏
页码：133 / 143
页数：11
相关论文
共 50 条
  • [41] Stability on the inverse random source scattering problem for the one-dimensional Helmholtz equation
    Li, Peijun
    Yuan, Ganghua
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 450 (02) : 872 - 887
  • [42] Infinite-dimensional Bayesian approach for inverse scattering problems of a fractional Helmholtz equation
    Jia, Junxiong
    Yue, Shigang
    Peng, Jigen
    Gao, Jinghuai
    JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 275 (09) : 2299 - 2332
  • [43] AN EFFICIENT NUMERICAL-METHOD FOR EXTERIOR AND INTERIOR INVERSE PROBLEMS OF HELMHOLTZ-EQUATION
    WANG, SL
    CHEN, YM
    WAVE MOTION, 1991, 13 (04) : 387 - 399
  • [44] Lipschitz stability in inverse source problems for a singular parabolic equation
    Anh, Cung The
    Toi, Vu Manh
    Tuan, Tran Quoc
    APPLICABLE ANALYSIS, 2022, 101 (08) : 2805 - 2824
  • [45] Inverse problems for the wave equation with an impulse source of unknown form
    Romanov, V. G.
    DOKLADY MATHEMATICS, 2007, 76 (02) : 713 - 717
  • [46] Direct and inverse source problems for heat equation in quantum calculus
    Shaimardan, Serikbol
    Ruzhansky, Michael
    FILOMAT, 2024, 38 (23) : 8141 - 8156
  • [47] On inverse source problems for the one-way wave equation
    Wall, DJN
    Lundstedt, J
    WAVE MOTION, 1998, 27 (01) : 55 - 77
  • [48] Numerical Solution to Inverse Source Problems for Linear Parabolic Equation
    Aida-zade, Kamil R.
    Rahimov, Anar B.
    IFAC PAPERSONLINE, 2018, 51 (30): : 231 - 236
  • [49] Inverse problems for the wave equation with an impulse source of unknown form
    V. G. Romanov
    Doklady Mathematics, 2007, 76 : 713 - 717
  • [50] Inverse medium scattering for a nonlinear Helmholtz equation
    Griesmaier, Roland
    Knoeller, Marvin
    Mandel, Rainer
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 515 (01)
12345