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[02311] Lipschitz Stability of Recovering the Conductivity from Internal Current Densities

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G809
  • Type : Contributed Talk
  • Abstract : Hybrid imaging techniques have been developed recently to produce clearer images than those produced by electrical impedance tomography. We focus on the inverse problem arising in the quantitative step of many hybrid imaging methods, formulated as recovering the isotropic conductivity of an object given internal current densities generated by applying different boundary conditions to the electrostatic equation. We provide a local Lipschitz stability for the general inverse problem in both full and partial data cases.
  • Classification : 35R30, 65N21, 92C55
  • Format : Talk at Waseda University
  • Author(s) :
    • Lingyun Qiu (Yau Mathematical Sciences Center, Tsinghua University; Yanqi Lake Beijing Institute of Mathematical Sciences and Applications)
    • Siqin Zheng (Yau Mathematical Sciences Center, Tsinghua University)