Li Li

PDL C38
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 DirichlettoNeumann map. The approach
relies on the unique continuation property of the fractional operator
as well as a timeintegral transform technique, which relates the
nonlinear parabolic problem to the linear elliptic problem.