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
  • [1] Stability on the one-dimensional inverse source scattering problem in a two-layered medium
    Zhao, Yue
    Li, Peijun
    APPLICABLE ANALYSIS, 2019, 98 (04) : 682 - 692
  • [2] A uniqueness result for the inverse electromagnetic scattering problem in a two-layered medium
    Liu, Xiaodong
    Zhang, Bo
    INVERSE PROBLEMS, 2010, 26 (10)
  • [3] STABILITY FOR THE INVERSE SOURCE PROBLEM IN A TWO-LAYERED MEDIUM SEPARATED BY ROUGH INTERFACE
    Hu, Guanghui
    Xu, Xiang
    Yuan, Xiaokai
    Zhao, Yue
    INVERSE PROBLEMS AND IMAGING, 2024, 18 (03) : 642 - 656
  • [4] The inverse scattering problem for an inhomogeneous two-layered cavity
    Ye, Jianguo
    Yan, Guozheng
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2024, 32 (02): : 161 - 181
  • [5] Inverse electromagnetic scattering in a two-layered medium with an application to mine detection
    Delbary, Fabrice
    Erhard, Klaus
    Kress, Rainer
    Potthast, Roland
    Schulz, Jochen
    INVERSE PROBLEMS, 2008, 24 (01)
  • [6] Electromagnetic Scattering in a Two-layered Medium
    Feng Li-xin and Li Yuan(School of Mathematical Sciences
    CommunicationsinMathematicalResearch, 2011, 27 (04) : 349 - 359
  • [7] Scattering in structured two-layered medium
    Dolganova, Irina N.
    Neganova, Aleksandra S.
    Karasik, Valeriy E.
    Zaytsev, Kirill I.
    Yurchenko, Stanislav O.
    INTERNATIONAL SCIENTIFIC SEMINARS ON "FUNDAMENTAL AND APPLIED PROBLEMS OF PHOTONICS AND CONDENSED MATTER PHYSICS", 2015, 584
  • [8] RECIPROCITY GAP MUSIC IMAGING FOR AN INVERSE SCATTERING PROBLEM IN TWO-LAYERED MEDIA
    Griesmaier, Roland
    INVERSE PROBLEMS AND IMAGING, 2009, 3 (03) : 389 - 403
  • [9] INVERSE SCATTERING PROBLEM IN A LAYERED MEDIUM
    KUNITSYN, VE
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 3 FIZIKA ASTRONOMIYA, 1985, 26 (06): : 33 - 40
  • [10] THE INTERIOR INVERSE SCATTERING PROBLEM FOR A TWO-LAYERED CAVITY USING THE BAYESIAN METHOD
    Yin, Yunwen
    Yin, Weishi
    Meng, Pinchao
    Liu, Hongyu
    INVERSE PROBLEMS AND IMAGING, 2022, 16 (04) : 673 - 690