Pedro Caro, María Ángeles García-Ferrero, Keith M. Rogers
Published 2024-01-11Version 1
We determine the conductivity of the interior of a body using electrical measurements on its surface. We assume only that the conductivity is bounded below by a positive constant and that the conductivity and surface are Lipschitz continuous. To determine the conductivity we first solve an associated integral equation locally, finding solutions in $H^1(B)$, where $B$ is a ball that properly contains the body. A key ingredient is to equip this Sobolev space with an equivalent norm which depends on two auxiliary parameters that can be chosen to yield a contraction.
Uniqueness in Calderon's problem with Lipschitz conductivities
On the scattering for the $\bar{\partial}$- equation and reconstruction of convection terms
Comments on the determination of the conductivity at the boundary from the Dirichlet-to-Neumann map
![QR code for arXiv:2401.06120 [math.AP]](http://oss.arxitics.com/images/favicon.svg)