A logarithmic estimate for the inverse source scattering problem with attenuation in a two-layered medium

被引:0
|
作者
Entekhabi, Mozhgan N. [1 ]
Gunaratne, Ajith [1 ]
机构
[1] Florida A&M Univ, Dept Math, Tallahassee, FL 32307 USA
来源
关键词
Inverse source problems; scattering theory; exact observability; CAUCHY-PROBLEM; STABILITY; EQUATIONS;
D O I
10.1515/jiip-2019-0025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The paper aims a logarithmic stability estimate for the inverse source problem of the one-dimensional Helmholtz equation with attenuation factor in a two layer medium. We establish a stability by using multiple frequencies at the two end points of the domain which contains the compact support of the source functions.
引用
收藏
页码:489 / 498
页数:10
相关论文
共 50 条
  • [41] Direct solution and Monte Carlo simulation of the inverse problem in two-layered half-space
    I. C. Mertzanides
    S. K. Goudos
    J. N. Sahalos
    Electrical Engineering, 2002, 84 : 51 - 60
  • [42] Direct solution and Monte Carlo simulation of the inverse problem in two-layered half-space
    Mertzanides, IC
    Goudos, SK
    Sahalos, JN
    ELECTRICAL ENGINEERING, 2002, 84 (01) : 51 - 60
  • [43] Recovering multiscale buried anomalies in a two-layered medium
    Li, Jingzhi
    Li, Peijun
    Liu, Hongyu
    Liu, Xiaodong
    INVERSE PROBLEMS, 2015, 31 (10)
  • [44] Numerical solution of Maxwell equations in a two-layered medium
    Cutzach, PM
    1998 INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ELECTROMAGNETIC THEORY, VOLS 1 AND 2, 1998, : 528 - 530
  • [45] On attenuation of Love waves in a two-layered half-space
    Singh, SJ
    WAVE MOTION, 1998, 28 (02) : 191 - 193
  • [46] Axisymmetric loading on a transversely isotropic two-layered medium
    Ruimy, C
    Dahan, M
    COMPTES RENDUS MECANIQUE, 2002, 330 (07): : 469 - 473
  • [47] Splitting method for acoustic scattering by a two-layered obstacle
    Wang H.
    Liu J.
    Dongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Southeast University (Natural Science Edition), 2011, 41 (03): : 652 - 658
  • [48] Thermoelastic Wave Scattering by a Penetrable Two-layered Object
    Athanasiadou, Evagelia S.
    Zoi, Stefania
    2022 12TH INTERNATIONAL CONFERENCE ON DEPENDABLE SYSTEMS, SERVICES AND TECHNOLOGIES (DESSERT), 2022,
  • [49] The Inverse Scattering Problem in a Nonstationary Medium
    Baev A.V.
    Gavrilov S.V.
    Computational Mathematics and Modeling, 2019, 30 (3) : 218 - 229
  • [50] An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium
    Omogbhe, David
    Sadiq, Kamran
    APPLICABLE ANALYSIS, 2024, 103 (06) : 1149 - 1164