Resumen de A boundary integral equation for Calderón's inverse conductivity problem

Kari Astala , Lassi Päivärinta

• Towards a constructive method to determine an L1-conductivity from the corresponding Dirichlet to Neumann operator, we establish a Fredholm integral equation of the second kind at the boundary of a two dimensional body. We show that this equation depends directly on the measured data and has always a unique solution. This way the geometric optics solutions for the L1-conductivity problem can be determined in a stable manner at the boundary and outside of the body.