An inverse problem for the fractional porous medium equation (Joint w/ IP seminar) 

I will first introduce classical and fractional Calderón
problems. Then I will focus on an inverse problem for the fractional
porous medium equation, which can be viewed as a nonlinear parabolic
variant of the fractional Calderón problem. The goal is to determine
both the conductivity and the absorption coefficient from exterior
partial measurements of the Dirichlet-to-Neumann map. The approach
relies on the unique continuation property of the fractional operator
as well as a time-integral transform technique, which relates the
nonlinear parabolic problem to the linear elliptic problem.