Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 93, pp. 1-30.

Title: Existence of solution for a segmentation approach to the 
       impedance tomography problem
       
Authors: Renier Mendoza (Univ. of the Philippines, Quezon City, Philippines)
         Stephen Keeling (Inst. for Math. and Sc. Computing, University of Graz, Austria)

Abstract:
 In electrical impedance tomography (EIT), image reconstruction of the
 conductivity  distribution of a body  can be calculated using measured voltages
 at the boundary. This is done by solving an inverse problem for
 an elliptic partial differential equation (PDE).
 In this work, we present some  sensitivity results arising from the solution
 of the PDE. We use these to show that a segmentation approach to the EIT inverse
 problem has  a unique solution in a suitable space using a fixed point theorem.
 
Submitted October 23, 2019. Published September 16, 2020.
Math Subject Classifications: 35J20, 47H10, 35R30.
Key Words: Electrical impedance tomography problem;
           two-phase segmentation algorithm; fixed point theorem.