Applied PDE Group
Nonlinear Partial Differential Equations in Fluid and Solid Mechanics

KL2017p

Existence and uniqueness in anisotropic conductivity reconstruction with Faraday’s law

Y-J. Kim, M-G. Lee, Existence and uniqueness in anisotropic conductivity reconstruction with Faraday’s law, (submitted)
Y-J. Kim, M-G. Lee
Faraday’s law, anisotropic conductivity
2016
We show that three sets of internal current densities are the right amount of data that give the existence and the uniqueness at the same time in reconstructing an anisotropic conductivity in two space dimensions. The curl free equation of Faraday’s law is taken instead of the usual divergence free equation of the electrical impedance to- mography. Boundary conditions related to given current densities are introduced which complete a well determined problem for conductivity reconstruction together with Fara- day’s law.