A Lipschitz Stability Estimate for the Inverse Source Problem and the Numerical Scheme

被引：0
|
作者：
Jia, Xianzheng [1 ]
机构：
[1] Shandong Univ Technol, Zibo 255000, Shandong, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2016年 / 2016卷
关键词：
DEPENDENT HEAT-SOURCE; FUNDAMENTAL-SOLUTIONS; IDENTIFICATION;
D O I：
10.1155/2016/9504829
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the inverse source problem for heat equation, where the source term has the form f(t)phi(x). We give a numerical algorithm to compute unknown source term f(t). Also, we give a stability estimate in the case that f(t) is a piecewise constant function.
引用
收藏
页数：5
相关论文
共 50 条
  • [1] Lipschitz stability estimate in the inverse Robin problem for the Stokes system
    Egloffe, Anne-Claire
    COMPTES RENDUS MATHEMATIQUE, 2013, 351 (13-14) : 527 - 531
  • [2] Lipschitz stability for an inverse source scattering problem at a fixed frequency*
    Li, Peijun
    Zhai, Jian
    Zhao, Yue
    INVERSE PROBLEMS, 2021, 37 (02)
  • [3] LIPSCHITZ STABILITY OF AN INVERSE SOURCE PROBLEM FOR ADMB-KDV EQUATION
    Yan, Lin
    Wu, Bin
    Chen, Qun
    Wang, Zewen
    Yu, Jun
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2020, 55 (01) : 63 - 83
  • [4] Lipschitz stability for the inverse Robin problem
    Sincich, E.
    INVERSE PROBLEMS, 2007, 23 (03) : 1311 - 1326
  • [5] Lipschitz stability for the inverse conductivity problem
    Alessandrini, G
    Vessella, S
    ADVANCES IN APPLIED MATHEMATICS, 2005, 35 (02) : 207 - 241
  • [6] Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate
    Cung The Anh
    Vu Manh Toi
    Tran Quoc Tuan
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2023, 31 (03): : 313 - 325
  • [7] Global Lipschitz stability for an inverse source problem for the Navier-Stokes equations
    Imanuvilov, Oleg Y.
    Yamamoto, M.
    APPLICABLE ANALYSIS, 2023, 102 (08) : 2200 - 2210
  • [8] Lipschitz stability in inverse parabolic problems by the Carleman estimate
    Imanuvilov, OY
    Yamamoto, M
    INVERSE PROBLEMS, 1998, 14 (05) : 1229 - 1245
  • [9] A conditional stability estimate for the solution to an inverse problem with a fixed point source
    Romanov, VG
    DOKLADY AKADEMII NAUK, 1997, 355 (05) : 597 - 599
  • [10] Lipschitz stability estimates for an inverse source problem in an elliptic equation from interior measurements
    El Badia, A.
    El Hajj, A.
    Jazar, M.
    Moustafa, H.
    APPLICABLE ANALYSIS, 2016, 95 (09) : 1873 - 1890
12345