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Dr. Manas Kar

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.
Location: Ramanujan Hall, Department of Mathematics
Date: Wednesday, January 17, 2018
Time: 3:00pm IST
Access: Public