Description
Speaker: Dr. Manas Kar
Date & Time: 17th January 2018, 3pm
Venue: Ramanujan Hall
Title: Inverse problems for reconstructing inclusion and identifying
unknown parameter.
Abstract: 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.