In general, inverse problems are those where one needs to recover the unknown parameter of a system from the knowledge of the external observation. In this talk, I will mainly give an overview of Calder\'on’s inverse problems arising in several linear and nonlinear partial differential equations. I will discuss two different kinds of inverse problems for the Maxwell system and p-Laplace equation. One is the parameter identification problems and another one is the shape reconstruction issues. In particular, I will concentrate on the problem of determining the conductivity of a medium and the shape of an inclusion from the knowledge of boundary voltage or current measurements.
SMS seminar room
National Taiwan University in Taiwan
Inverse problems for reconstructing inclusion and identifying unknown parameter