APS Seminar
Date and Time: 11:30 AM - 12:30 PM on 25th September, Wednesday
Venue: Ramanujan Hall
Speaker: Surajit Pal
Title: Unique Continuation Principle and its applications
Abstract: This seminar explores the relationship between Hatus Lemma and
unique continuation principle, highlighting how UCP can be used to prove
the conditions for stabilizability in the Hautus Lemma. The Hautus Lemma
provides necessary and sufficient conditions for the stabilizability of
linear systems. The unique continuation which states that any solution of
an elliptic equation that vanishes in a small ball must be
identically zero.
Then we will try to give the argument how we can get unique continuation
principle for elliptic equation with constant, real-analytic coefficient
and later we will prove the unique continuation for little bit general
set-up using Carleman inequality.